A ladder leans against the side of a house. The angle of elevation of the ladder is 68" when the bottom of the ladder is 16 it from the side of the house. Find the
length of the ladder. Round your answer to the nearest tenth
PLZ HELP ASAP!!!

A Ladder Leans Against The Side Of A House. The Angle Of Elevation Of The Ladder Is 68" When The Bottom

Answers

Answer 1

Answer:

Length = 42.7 feet

Step-by-step explanation:

By considering it as right triangle we use trigonometric ratios to find the length of the ladder.

Given angle of elevation and adjacent side. We have to find the hypotenuse.

Trigonometric ratios

[tex]sin \theta = \frac{Opposite}{hypotenuse}\\\\cos \theta = \frac{adjacent }{hypotenuse }\\\\Tan \theta = \frac{opposite}{adjacent}\\ \\[/tex]                       [tex][ \ where \ \theta = 68^{ \circ} \ ][/tex]

To find length of ladder ( or hypotenuse ) :

[tex]cos \theta = \frac{16}{Length \ of \ ladder}\\\\Length \ of \ ladder = \frac{16}{cos 68} = 42.711\\\\[/tex]

Therefore, length of the ladder = 42.7 feet.


Related Questions

HELP HELP HELP HELP HELP HELP

Answers

Answer:

148 Degrees

Step-by-step explanation:

32-180=148

148+32=180

a cheetah runs at the speed of 2km per minute. How far can it run in 5 minutes? PLEASE I NEED IT RN

Answers

Answer:

10 km

Step-by-step explanation:

pls mark me brainliest

Answer: 10km

Explanation:
The question gives us the equation 2x.

When x is replaced with 5, you get 2(5).

2(5)= 10! :)

The parabola described by the equation -1/16(x-3)^2 + 4 = y has the directrix at y=8. What is the focus of the parabola?

Answers

Answer:

(3, 0)

Step-by-step explanation:

A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.

The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:

[tex]4p(y-k)=(x-h)^2[/tex]

The directrix is at y = k - p, and focus is at (h, k + p).

Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:

[tex]-\frac{1}{16}(x-3)^2+4=y\\\\(y-4)= -\frac{1}{16}(x-3)^2\\\\-16(y-4)=(x-3)^2\\\\[/tex]

Comparing with the standard form:

The center = (h, k) = (3, 4)

Also, -16 = 4p

p = -4

Directrix is at y = k - p = 4 - (-4) = 8

Directrix is at y = 8

The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)

The focus is at (3, 0)

A bag has 5 green balls, 7 blue balls, 2 red balls, and 3 yellow balls. How many elements are in the sample space?
A) 7
B) 210
C) 17
D) 5

Answers

Answer:

the answer is D

Answer:

Option C

Step-by-step explanation:

There are 17 elements in the sample space, here.

the average length of string a and string d is 10x cm. the average length of string b and string c is 8x cm . the average length of strings b , c , d is 6x cm . find the length of string a in terms of x

Answers

Answer:

[tex]a = 18x[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}(a + d) = 10x[/tex]

[tex]\frac{1}{2}(b + c) = 8x[/tex]

[tex]\frac{1}{3}(b + c+d) = 6x[/tex]

Required

The value of (a)

We have:

[tex]\frac{1}{2}(a + d) = 10x[/tex] --- multiply by 2

[tex]\frac{1}{2}(b + c) = 8x[/tex] --- multiply by 2

[tex]\frac{1}{3}(b + c+d) = 6x[/tex] --- multiply by 3

So, we have:

[tex]\frac{1}{2}(a + d) = 10x[/tex]

[tex]a + d = 20x[/tex]

[tex]\frac{1}{2}(b + c) = 8x[/tex]

[tex]b + c = 16x[/tex]

[tex]\frac{1}{3}(b + c+d) = 6x[/tex]

[tex]b + c + d= 18x[/tex]

Substitute [tex]b + c = 16x[/tex] in [tex]b + c + d= 18x[/tex]

[tex]16x + d = 18x[/tex]

Solve for d

[tex]d = 18x - 16x[/tex]

[tex]d = 2x[/tex]

Substitute [tex]d = 2x[/tex] in [tex]a + d = 20x[/tex]

[tex]a + 2x = 20x[/tex]

Solve for (a)

[tex]a = 20x - 2x[/tex]

[tex]a = 18x[/tex]

Write an equation of the parabola that passes through the point (46, - 150) and has x-intercepts - 4 and 56 . Then find the average rate of change from x= -4 to x=6.

An equation is y =

The average rate of change is

Answers

Answer:

6w83ywytahausjsshshfwgwyee

Fbjdbdbdhhdhdbddbdbbdbddbbd so yea

what function is shown in the table

Answers

I think it’s a linear

evaluate 3|-3|

a. -6
b. 6
c. 9
d. -9

Answers

Answer:is that 3i or what?

-

Step-by-step explanation

Answer:

It's answer is d) 9

.........

The sum of the interior angle measures of a convex polygon with n sides is given by the expression 180n–360 . Factor the expression.

Answers

Answer:  180(n-2)

You use the distribution rule to factor

The distribution rule is a(b+c) = a*b+a*c

Solve the following system graphically.

y < - x
y =< x - 2

Upload one solution of the system and your graph

Answers

Answer:

a solution of the system is the point that satisfies both the equations

(1, -1) is a solution of the system

Add the following numbers. -6 + 5 =

Answers

-6 + 5
= -1.
Regards............

Step-by-step explanation:

-6 + 5 = -1

!!!!!!!!!!!!!!!!!!!!!!!

NEED HELP PLS!!!


In circle B with \text{m} \angle ADC= 81m∠ADC=81, find the \text{m} \angle ABCm∠ABC.

Answers

I don’t know sorry……………….

A 2km long stretch of road needs to be resurfaced. The width of the road is 8.3m. Model this stretch of road as a rectangle.Work out the area of road that needs to be resurfaced in metre squared. Resurfacing this road costs £30 per square metre What is the total cost to resurface this road?

Answers

1 km = 1000 meters

2 km = 2 x 1000 = 2,000 meters

Area = length x width

Area = 2,000 x 8.3 = 16,600 square meters

Cost:

Multiply total area by cost per square meter:

16,600 x 30 = £498,000

Determine whether the given triangles are congruent

Answers

Answer:

Yes they are congruent and it is explained below

Step-by-step explanation:

There are 5 postulates when testing for congruency and they are;

SSS, SAS, ASA, AAS and HL.

S represents side

A represents angle

H represents hypotenuse

L represents leg

Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.

Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.

Thus, they are congruent.

Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9

Part A: Solve by graphing.

Part B: Solve by substitution.

Part C: Solve by elimination.

Describe the process and steps you used to solve each method.

Answers

Answer:

Step-by-step explanation:

you do part a

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

b

Divide equation 2 by 3

x-y=3

add y to both sides

x=3+y

Sbustitute this into equation 1

4(3+y)=2

12+4y+y=2

5y= -10

y= -2

Plug this into equation 1

4x-2=2

x=1

Part c.

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

divide equation 2 by 3

x-y=3

add the two equations

(x-y)+(4x+y)=2+3

5x=5

x=1

Plug this into equation 1

4(1)+y=2

4+y=2

y= -2

For part a just create a table and graph it

1. A zoo has an Asian elephant that weighs 6 tons. The elephant got sick and lost 1450 pounds. What is the elephants new weight in tons? 2. In a package of balloons, the ratio of purple balloons to green balloons is 3 to 4. What could be the total number of balloons in the package? 3. The ratio of red flowers to yellow flowers in a field is 5 to 7. If there are 392 yellow flowers in the field, how many red flowers are there?

Answers

Answer:

1. The new weight of elephant is 5.342 tones.

3. The number of red flowers are 280.

Step-by-step explanation:

1. weight of elephant = 6 tons

weight lost = 1450 pounds

As , 1 pound = 0.000454 ton

So, 1450 pounds = 0.658 ton

The new weight of elephant is

= 6 - 0.658 = 5.342 tones

3.

red flower to the yellow flower is 5 : 7

Number of yellow flowers = 392

Let the red flowers are R.

So,

[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]

help?- Plot and connect the points A (-4, 4), B (-1, 1), C (-6, 1), and find the length of BC.
A.
4 units
B.
2 units
C.
6 units
D.
5 units

Answers

the answer could be D 5 units
because the distance between B and C is 5 by looking at the x-axis

Answer:

BC= 5 units

Step-by-step explanation:

What is the slope of the line represented by the equation y = -2/3 - 5x

Answers

Answer:

-5

Step-by-step explanation:

equation of a line is y=m*x+b

m is the slope of that line

so for y= -5x -2/3 m would be -5

Answer:

The slope intercept form of a line takes the Form

y= mx + c

where M is the gradient and as you can see... Its the coefficient of "x"

From the equation given

y= -2/3 - 5x

The Slope(gradient) is -5.

OPTION A IS CORRECT

expand (y+1)(y-4) !!!!!!

Answers

Answer:

Step-by-step explanation:

y^2 - 4y + y - 4

y^2 - 3y - 4

Find the area of the circle. Leave your answer in terms of pi

Answers

Answer:

4.84 pi

Step-by-step explanation:

[tex]area = \pi \times {r}^{2} [/tex]

Answer:

484pim^2(d)

Step-by-step explanation:

pir^2

pi(22)^2

484pi

.........................​

Answers

Answer:

The literals are; a, b, and c

The constants are; c, and 3

The variables are; x, and y

Step-by-step explanation:

The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied

The given equation is a·x² + b·x + c - y + 3 = 0

The literals are;

'a', 'b', and 'c'

The constants are the values that remain the same always in an equation and does not change

The constants are;

'c', and '3'

The variables are the values that vary in relation to one another

The variables are;

'x', and 'y'

What value of x would make the inequality true?

2x + 5.5 < 20

A) 19/2

B) 9/4


Part two

What other value of x would make the same inequality true?

2x + 5.5 < 20

C) 5

D) 7.25

Giving brainlest!!!

Answers

Answer:

whats?

Step-by-step explanation:

Answer:

19/2 and 7.25

Step-by-step explanation:

1.

19/2=9.5

2×9.5+5.5=

19+5.5=

24.5

24.5 <20

verified

2.

2×7.25+5.5<20

14.50+5.5 <20

20 <20

verified

please mark as brainliest answer

Construct a 135° Angle
Now, provide the step - by - step instructions that you devised to create your own construction.

*WILL GIVE BRAINLIEST*

Answers

Answer: This would be how I would do it, so the answer might vary from what the teacher wants.

A 135 degree angle is a 90 degree plus 45 degree. So I would first draw a straight line, then divide the line into two 90 degree angles with a perpendicular bisector. Then I would draw a line dividing one of those 90 degree angles into two 45 degree angles. Now I would erase the middle line and now you have a 135 degree angle hint 90 + 45.

Step-by-step explanation:

Answer:

Step-by-step explanation:

90 ° + 45° = 135°

Which of the following statements describes the process for solving 4x ≥ -24?

A. Divide both sides of the inequality by 4 and flip the symbol.
B. Divide both sides of the inequality by -24 but don't flip the symbol.
C. Divide both sides of the inequality by 4 but don't flip the symbol.
D. Divide both sides of the inequality by -24 and flip the symbol.

Answers

Answer:

C. Divide both sides of the inequality by 4 but don't flip the symbol.

Step-by-step explanation:

When you solve an inequality, you have to get the x by itself. So, in this inequality, the first thing you would do is divide both sides of the inequality by 4. The new and solved equation would look like this:

x ≥ -6

Because multiplying by a negative, dividing by a negative, or having negatives on both sides of the inequality was not involved in solving for x, flipping the symbol is not needed.

I really hope this helps! Have an amazing day :3

Which expression is equivalent to 24 1/3? A. 2 square root 3 B. 2(3 square root 3) C.2 squareroot 6 D 2(3 square root 6) (look at image please)​

Answers

Answer: Its B

Explanation: took the quiz

[tex]\longrightarrow{\pink{ B. \:2\sqrt[3]{3} }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex]= {24}^{ \frac{1}{3} } [/tex]

[tex] = \sqrt[3]{24} [/tex]

[tex] = \sqrt[3]{2 \times 2 \times 2 \times 3} [/tex]

[tex] = \sqrt[3]{ ({2})^{3} \times 3} [/tex]

[tex] = 2\sqrt[3]{3} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Are these relations a function? Yes or no.
{(–1,5), (2, -1),(4,3), (9,-4), (11, 1)}

Answers

Function is a set of ordered pairs where there cannot be same x-values or repetitive domain in a set.

For example below below:

{(1,1),(2,3),(3,3),(4,5)}

The following relation is a function since there are no same x-values in a set.

{(1,1),(1,2),(2,2),(4,8)}

The following relation is not a function since there are same two x-values which is D = {1} or (1,1) and (1,2) both have same domain. Thus, not making the relation a function.

From the question, the relation is a function because in a set of ordered pairs, there aren't any same x-values.

Answer

Yes, the following relation is a function.

Ted surveyed the 291 employees at the company who worked in Marketing.
Is this sample of the employees at the company in general likely to be biased?
yes
no

Answers

Answer:

Yes it is biased since they are only survey people in marketing not a random sample of people from and group in the company

please help me answer this question also it’s asking to show work!!

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{9\times10^5}{10\times10^3}}[/tex]

[tex]\mathsf{10^5}[/tex]

[tex]\mathsf{= 10\times10\times10\times10\times10}[/tex]

[tex]\mathsf{= 100\times100\times10}[/tex]

[tex]\mathsf = 10,000\times10}[/tex]

[tex]\mathsf{=\bf 100,000}[/tex]

[tex]\mathsf{10^3}[/tex]

[tex]\mathsf{= 10\times10\times10}[/tex]

[tex]\mathsf{= 100\times10}[/tex]

[tex]\mathsf{= \bf 1,000}[/tex]

[tex]\mathsf{\dfrac{9\times100,000}{10\times 1,000}}[/tex]

[tex]\mathsf{9\times100,000 = \bf 900,000}[/tex]

[tex]\mathsf{10 \times 1,000 = \bf 10,000}[/tex]

[tex]\mathsf{\dfrac{900,000}{10,000}}[/tex]

[tex]\mathsf{= \bf 90}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 90}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which of the two data sets shown in the box
plots below has the greater mean?​

Answers

Answer:

Step-by-step explanation:

Remember that the mean is average

Ex. Set A

Add then divide by the 8

A 95% confidence interval is (70,110). what is the margin for error? A. 19 B.38 C.20 D.40

Answers

Answer:

C.20

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

In this question:

Lower bound: 70

Upper bounf: 110

Margin of error:

[tex]M = \frac{110 - 70}{2} = \frac{40}{2} = 20[/tex]

Thus the correct answer is given by option C.

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