Mica stands 75 feet away from the base of a tree and looks up towards the top of the tree at a 51 degree angle.

Answers

Answer 1

Answer:

Height of the tree =  92.61 feet

Step-by-step explanation:

Given: Distance between base of tree and Mica = 75 feet

Angle of elevation to the top of tree = 51°

Assuming we have to find the height of the tree = H

This can be found by applying simple trigonometry.

The height of the tree becomes perpendicular and distance between base of tree and Mica is base.

Then,  tan51° = H/75

⇒ H = 75× tan51° = 92.61 feet


Related Questions

What is 2 1/2 x 5 as a fraction and how

Answers

Answer:

12.5

Step-by-step explanation:

2 1/2 or 2.5 (in decimal form) times 5 equals 12.5

By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is,

⇒ 2 1/2 × 5 = 25 / 2

What is mean by Multiplication?

The multiplication of numbers means to add or sum a number to itself a particular number of times. And, The Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression of the multiplication is,

⇒ 2 1/2 × 5

Now, We can multiply the numbers as;

Here, The expression of the multiplication is,

⇒ 2 1/2 × 5

Change into improper form;

⇒ 5/2 × 5

⇒ 5 x 5 / 2

After multiply the numbers as;

⇒ 25 / 2

Therefore, By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is written as,

⇒ 2 1/2 × 5 = 25 / 2

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

B3BB
Which graph represents the solution set of the inequality x+226?
986
08
4
9 S
7
8
6
+
0 1 -
SS 986
1
2
3
S
6
7
6 8
1 S 986
0
1
2 3
4.
5
9
7 8 9
0
1
2
S
4
5
9
B 2
6

Answers

Answer:

C is correct

Step-by-step explanation:

Firstly, we have to solve for x in the solution set of the inequality

We have this as follows;

x + 2 ≥ 6

x ≥ 6-2

x ≥ 4

To graph this, we consider the middle sign which is greater than or equal to

So, the inequality sign has to face the right side

secondly, it has to be shaded on the point 4 due to the fact that it has the ‘equal to’ beneath the single inequality symbol

so, the correct answer here is option C

pls help me with my testt

Answers

Answer:

slope

Step-by-step explanation:

wisusushsheusueueheyehuee


The sum of three consecutive odd integers is 189. What
are the integers?

Answers

Answer:

61, 63, 65

Step-by-step explanation:

n + n+2 + n+4 = 189

3n = 183

n = 61

Answer:

The three consecutive odd integers are 61, 63, and 65

Step-by-step explanation:

Let the three consecutive odd integers be:

n + 1, n + 3 and n + 5

Therefore:

n + 1 + n + 3 + n + 5 = 189

3n + 9 = 189

3n = 180

n = 60

n + 1 = 61

n + 3 = 63

n + 5 = 65

Order the numbers from least to greatest.
23% , 1/4 , 0.225 .

Answers

0.225, 23%, 1/4


Step my step

23% = 0.23
1/4 = 0.25

NO LINKS PLEASE! 3-6

Answers

Answer:

3. 52(1).93 + (7).1

4. (0).31 + (5)

5. (8).01 + 2(3).8

6. (3) + (9).62

Solve the linear inequality: x ≤ -x + 4

Answers

Answer:

x ≤ 2

Step-by-step explanation:

i hope this helps :)

Naomi's bill for breakfast at a restaurant was $82.She left a15% tip.What was the amount of the tip?

Answers

Answer:

$12.30 is the tip

Answer:

$12.30 is the answer.

Step-by-step explanation:

82 * 0.15 = 12.3

the diagonals of the rectangle have these equations. y= 4x - 10 y= -4x + 8 find where these lines intersect

Answers

hi

if it's intersect, then :  

4x-10 = -4x+8

-10-8 = -4x-4x

 -18  = -8x

 -18/-8 = x

   18/8 = x

   9*2 /4*2 = X

   9/4 = X

So X is  9/4   then y  is  :   4( 9/4) -10 =  9-10 = -1  

Lines intercept at   (  9/4 ; -1)

Aside from playing scrabble, what ither indoor recreational activities would you intiate in your family/community despite tha pandemic?​

Answers

Sungka. Playing sungka is fun

Henry has a box of toys that weighs 7 pounds. He has another box of toys that weighs 84 ounces. How many ounces do both boxes weigh altogether?

Answers

Answer:

196 ounces

Step-by-step explanation:

1 pound = 16 ounces

16 x 7 = 112

112 + 84 = 196 ounces

tell whether a triangle can have the given angle measures:
47°, 109°, 23°

Answers

Answer: No

Explanation: All the angles of a triangle has to add up to 180. The angles you provided adds up to 179, which does not equal 180. That means it can’t be a triangle.

Answer:

No

Step-by-step explanation:

47 + 109 + 23 = 179

But the angle sum of a triangle is 180.

Brainly Reward (mathematics)​

Answers

Answer:

1: 45

2: 32

3: 35

4: 32

Step-by-step explanation:

when finding the area of a trapezium you can also just split the rectangle and triangle to have 2 different areas then combine to have the same area. but also this would be more difficult if you needed to separate the trapezium into more than 3 shapes.

so if there is like a trapezoid that you split and there is a rectangle and 2 triangles it is harder than doing the formula.

so use the formula sometimes too if it is easier.

Answer:

1 would be 45, 2 would be 32, 3 would be 35, 4 would be 32

Step-by-step explanation:

46 in = ___ft ___in PLEASE HELP!!

Answers

Answer:

Step-by-step explanation:

46 in = 3.83333foot inches is 552 PLEASE HELP!!

14pt = 7 qt but i need the work

The US liquid quart is a unit of fluid volume equal to one fourth of a gallon, two pints, or four cups. The liquid quart should not be confused with the dry quart (US) or the imperial quart, which are different units.

The quart is a US customary unit of volume. Quarts can be abbreviated as qt; for example, 1 quart can be written as 1 qt.

HELP ME PLS! FOR THE FIRST & SECOND ONE! 10 POINTS EACH!!!

Answers

Answer:

y=(0,-1)

x= 2/3

Graph: I went to use Math...way and plug up the equation

Step-by-step explanation:

Hope this helps!!!!!!!

The height of a right pyramid with a square base is 4 feet. The length of a side of the
base of the pyramid is 6 feet. What is the slant height, s, of the pyramid?
6 ft

Answers

Answer: I think the answer maybe 12

Step-by-step explanation:

4 x 6  ÷ 2  = 12

What is the slope of the line shown below?

Answers

Answer:

2

Step-by-step explanation:

ΔX = -1 – 2 = -3

ΔY = -4 – 2 = -6

-6 divided by -3=2

Hope it helps ;)

Step-by-step explanation:

[tex]slope = \frac{y2 -y1 }{x2 - x1} \\ = \frac{ - 4 - 2}{ - 1 - 2} \\ = \frac{ - 6}{ - 3} \\ = 2[/tex]

even if x₁ = -1, y₁ = -4 and x₂ = 2, y₂= 2 the result remains the same.

#CMIIW

the linear function g is defined by g(x)=4x. show that g(3) and g(2) have a difference of 4.

Answers

Answer:

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at  

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table?  well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at  

what about the x-intercept for g(x)?  well, let's check, when is y = 0?  aha!  at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway?  well, let's pick two points off the table to get it hmmm the first two let's use,

and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.

well, 2/3 is larger than 1/3, so no dice.

b)

well, you already know.

Please answer correctly and no links pls

Answers

Answer: 13.) 49,  14.) 64

Step-by-step explanation:

7x7=49, 8x8=64

The scale of map is 1cm : 70km. What is the actual distance between towns that are 5cm apart on the map

Answers

Answer: 350km

Step-by-step explanation:

Since we are informed that the scale of map is 1cm : 70km. Therefore, the actual distance between towns that are 5cm apart on the map will be:

= 5 × 70km

= 350km

Therefore, the answer is 350km

Which statement correctly compares the parking rates for each lot?
O Lot A costs $4.20 less per hour than Lot B.
O Lot A costs $0.10 more per hour than Lot B.
O Lot B costs $0.05 less per hour than Lot A.
O Lot B costs $0.01 more per hour than Lot A.

Answers

Answer: O Lot B costs $0.01 more

Step-by-step explanation: I think it’s O Lot B costs $0.01 more per hour than Lot A

Kotaro is sitting 30 feet high in a football stadium. The angle of depression to the center of the field is 14 degrees. What is the horizontal distance between Kotaro and the center of the field? Round to the nearest foot.

Answers

Answer:

217 feet

Step-by-step explanation:

tan(14) = x/30

=> x = 30tan(14)

=> x = 217 feet

Answer:

x = 7

Step-by-step explanation:

tan(14) = x/30

x = (30)tan(14)

x=7

yeah please help me

Answers

Answer:

Its B and E

Step-by-step explanation:

PLS MAKE ME BRAINLIEST

3x - 2x + 1 = 8
How do I solve this

Answers

Answer:

x = 7

Step-by-step explanation:

3x - 2x + 1 = 8

x + 1 = 8

*subtract 1 from both sides

x = 7

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Combina los términos semejantes

[tex]3x-2x+1=8\\x+1=8[/tex]

Resta 1 de ambos lados de la ecuación

[tex]x+1-1=8-1\\[/tex]

Simplifica y resta los números

[tex]x=7[/tex]

Of 570 people, 365 were male and 368 had brown hair. Of those with brown hair, 108 were female. What is the probability that a person was male or had brown hair? Write your answer as a reduced fraction.

Answers

Answer:

473/570

Step-by-step explanation:

No. of male = 365

No. of female = 570-365 = 205

No. of male with brown hair = 260

No. of female with brown hair = 108

the probability that a person was male or had brown hair = 365/570+108/570 = 473/570 [ for or case we add probabilities]

Answer:

Around 83%        473/ 570

Step-by-step explanation:

365 males  + 108 females with brown hair = 473

Divide the number of outcomes desired by the total  number of outcomes 473/570   = 0.829824....... = 82.98.....%

Which of the following equations has a solution x = 4? Select all that apply.
0-2 (32 – 4) = -16
{(100 + 2) = 6
20 - 15x = 6 - 2 (4x + 7)
(90 - 12) +6 = -10

Answers

Answer:

[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex]

Step-by-step explanation:

Given

[tex]-2(3x - 4) = -16[/tex]

[tex]\frac{1}{2}(10x + 2) = 6[/tex]

[tex]20- 15x = 6 - 2(4x + 7)[/tex]

[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]

Required

Equations with [tex]x = 4[/tex] as a solution

[tex]-2(3x - 4) = -16[/tex]

Divide both sides by -2

[tex]3x - 4 = 8[/tex]

Add 4 to both sides

[tex]3x - 4 +4= 8+4[/tex]

[tex]3x =12[/tex]

Divide both sides by 3

[tex]x = 4[/tex]

[tex]\frac{1}{2}(10x + 2) = 6[/tex]

Multiply both sides by 2

[tex]10x + 2 = 12[/tex]

Subtract 2 from both sides

[tex]10x + 2 -2= 12-2[/tex]

[tex]10x = 10[/tex]

Divide both sides by 1

[tex]x = 1[/tex]

[tex]20- 15x = 6 - 2(4x + 7)[/tex]

Open bracket

[tex]20 - 15x = 6 - 8x - 14[/tex]

Collect like terms

[tex]8x - 15x = 6 - 14 - 20[/tex]

[tex]-7x = -28[/tex]

Divide both sides by -7

[tex]x = 4[/tex]

[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]

Subtract 6 from both sides

[tex]\frac{1}{3}(9x - 12) + 6-6=-10-6[/tex]

[tex]\frac{1}{3}(9x - 12) =-16[/tex]

Multiply both sides by 3

[tex]9x - 12 = -48[/tex]

Add 12 to both sides

[tex]9x - 12 +12= -48+12[/tex]

[tex]9x = -36[/tex]

Divide both sides by 4

[tex]x =-4[/tex]

[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex] have [tex]x = 4[/tex] has a solution

Answer: 1st and 3rd

Step-by-step explanation:

If interest is compounded twice a year, at what annual rate must you invest $2000 to have $3000 at the end of 6 years?

Answers

Step-by-step explaination

How to calculate interest compounded semiannually

Add the nominal interest rate in decimal form to 1. The first order of operations is parentheses, and you start with the innermost one. ...

Solve step one to the power of how many compounding periods. ...

Subtract from step two. ...

Multiply step three by the principal amount.

A central angle of a circle measures π/3 radians.The length of the minor arc intercepted by this central angle is 7 inches. Find the length of the radius of the circle.

Answers

9514 1404 393

Answer:

  6.68 in

Step-by-step explanation:

The length of an arc is given by ...

  s = rθ . . . . θ in radians

Then the radius is ...

  r = s/θ

  r = (7 in)/(π/3) = 21/π in ≈ 6.6845 in

The radius of the circle is about 6.68 inches.

Answer:

Solution :-

Angle of circle = π/3 r

Length of minor arc = 7 in

Now

We know that

Radius = Length/Angle

Radius = 7/(π/3)

Radius = 7/π × 3

Radius = 21/π

[tex] \\ [/tex]

A restaurant sells large and small bowls of soup. A 150-ounce pot of soup can make 10 large bowls. A small bowl of soup is 3/5 the size of a large bowl. How many small bowls of soup can be served from a 108 once pot of soup

Answers

12 small bowls of soup can be served from a 108 ounce pot of soup

150-ounce pot of soup can make 10 large bowls. Hence:

Number of ounce in each large bowl = (150 / 10) = 15 ounce per bowl

For 108 ounce pot of soup:

Number of bowls = 108 ounce / (15 ounce per bowl) = 7.2 large bowls

1 small bowl =  (3/5) large bowl

7.2 large bowl = 7.2 large bowl / (3/5 large bowl per small bowl) = 12 small bowls

Therefore, 12 small bowls of soup can be served from a 108 ounce pot of soup.

Find out more at: https://brainly.com/question/21105092

If 15 ounces of candy cost $3.75, what is the unit price per ounce?

Answers

Answer:

$0.25

Step-by-step explanation:

3.75/15 = 0.25

Answer:

0.25

Step-by-step explanation:

3.75 divided by 15= 0.25

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