You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse

Answers

Answer 1

Answer: 2000.25 ft

Step-by-step explanation:

Given

Height of lighthouse [tex]h=175\ ft[/tex]

Angle of elevation [tex]\theta=5^{\circ}[/tex]

Suppose, you are x feet away from lighthouse

From the figure, we can write

[tex]\Rightarrow \tan 5^{\circ}=\dfrac{175}{x}\\\\\Rightarrow x=\dfrac{175}{\tan 5^{\circ}}\\\\\Rightarrow x=2000.26\ ft[/tex]

Thus, the ship is 2000.25 ft away from the light-house

You Are On A Ship At Sea. You See A Lighthouse In The Distance. You Know The Lighthouse Is 175 Feet Tall.

Related Questions

Sum of two numbers is 5/22. If one of the number is 2/11, then the other number is

Answers

Answer:

1/22

Step-by-step explanation:

2/11 = 4/22 therefore 4/22 + x = 5/22 and 5/22 - 4/22 = 1/22

[tex]\huge\bold{Given :}[/tex]

Sum of two numbers = [tex] \frac{5}{22} [/tex]

One of the number = [tex] \frac{2}{11} [/tex]

[tex]\huge\bold{To\:find :}[/tex]

The other number.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\blue{The \:other \:number \:is }[/tex] [tex] \frac{1}{22} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Let the other number be [tex]x[/tex].

As per the question, we have

[tex]sum \: of \: the \: two \: numbers = \frac{5}{22} \\ \\ ⇢  \frac{2}{11} + x = \frac{5}{22} \\ \\⇢ x = \frac{5}{22} - \frac{2}{11} \\ \\ ⇢ x = \frac{5}{22} - \frac{2 \times 2}{11 \times 2} \\ \\⇢ x = \frac{5 - 4}{22} \\ \\ ⇢ x = \frac{1}{22} [/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is}[/tex] [tex] \frac{1}{22} [/tex].

[tex]\huge\bold{To\:verify :}[/tex]

[tex] \frac{2}{11} + \frac{1}{22} = \frac{5}{22} \\ \\➪ \: \frac{2 \times 2}{11 \times 2} + \frac{1}{22} = \frac{5}{22} \\ \\ ➪ \: \frac{4 + 1}{22} = \frac{5}{22} \\ ➪ \: \frac{5}{22} = \frac{5}{22} \\ \\ ➪ \: L. H. S. = R. H. S[/tex]

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

An art student is mixing blue paint with yellow paint to create a special color. For every 6 gallons of blue paint, they need 4 gallons of yellow paint.

How much yellow paint will they need if they use 30 gallons of blue paint?

Answers

Answer:

The answer is 20 gallons of yellow paint

Answer:

20 gallons of yellow paint.

Step-by-step explanation:

4/6 = x/30 is the equation.

4 represents yellow paint.

6 represents blue paint.

We know 30 gallon of blue paints was used.

But we dont know x , the amount of yellow paint.

Criss cross bottom to top

6× X = 4×30

6x= 120

x=20

The sum of two consecutive numbers is one less than three times the smaller integer. Find the two integers.

Answers

Answer:

2 and 3

Step-by-step explanation:

Let us start by representing the first consecutive number with x. In a similar sense, the next consecutive number would be x+1. According to the given question, we can write the following equation:

[tex]x+x+1=3x-1[/tex]

Solving for the equation by isolating the term containing x, we have:

[tex]2x+1=3x-1\\2x+2=3x\\\fbox{x=2}[/tex]

Since we have designated x as the first consecutive integer, the other integer we are looking for is x+1, or [tex]\fbox{3}[/tex] .

I hope this helps! Let me know if you have any questionss :)

?‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Answers

Answer:

Step-by-step explanation:

She made the -2(6) as a positive 12. it should've been a negative 12 because a negative multiplied by a positive is a negative.

How will she know if 5(3x – 6) is equivalent to 15x – 30?

Answers

Answer:

By distributing the parenthesis

Step-by-step explanation:

Given

5(3x - 6) ← multiply each term in the parenthesis by 5

= 15x - 30 ← as required

Helppppp me please ASAP

Answers

Answer:

5, 19, 21

Step-by-step explanation:

The sum of two smaller sides must be larger than the largest side in order to be a triangle. This means that only the first one can be a set of the triangle.

Which of these are a trinomial

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

D) [tex]c^2+c+6[/tex]

»»————- ★ ————-««  

Here’s why:  

A trinomial is a expression that consists of three terms. A term can be a number, variable, or both numbers and variables that are multiplied together. Answer choice 'D' has three terms, c², 'c', and '6'. Therefore, it is a trinomial.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

which expression is equal to: 3c (1/3 d-9) -7(c-1) + d(c + 4)?
A. 2cd + 8c + 4
B. 2cd + 34c + 4d + 7
C. 2cd - 34c + 4d + 7
D. 2cd - 7c - 4

Please include steps!​

Answers

Answer:

c

Step-by-step explanation:

Jodie ran at an average speed of 6 km/h for 10 minutes.
How far did she run in km?

Answers

Answer:

Distance cover by Jodie = 1 kilometer

Step-by-step explanation:

Given;

Speed of Jodie = 6 kilometer/ hour

Total time Jodie ran = 10 minutes

Find:

Distance cover by Jodie

Computation:

Total time Jodie ran = 10 minutes = 10 / 60 = 0.1667 hour

Distance = Speed x time

Distance cover by Jodie = Speed of Jodie x Total time Jodie ran

Distance cover by Jodie = 6 x 0.1667

Distance cover by Jodie = 1.002

Distance cover by Jodie = 1 kilometer

Based on the side lengths given (a, b, and c), which triangles are right triangles?

Answers

Answer:

It's the third option.

Step-by-step explanation:

the answer is b and c

sorry if im wrong

Donna bought 5 bags of dog treats for $10.65. What is the cost per bag of dog treats?

Answers

Answer:

$10.65 divide by 5 equals $2.13

Answer:

The cost per bag of dog treats is $2.13.

Step-by-step explanation:

We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.

Total = $10.65

How many bags there are : 5

$10.65 divided by 5 = 2.13

The cost per bag of dog treats is $2.13.

Mrs. Smith is creating a rectangular flower bed such that the width is half of the
length. The area of the flower bed is 34 square feet. Write and solve an equation
to determine the width of the flower bed, to the nearest tenth of a foot.

Answers

Answer:

As for this problem, we will first establish that the length of the flower bed be represented as x, the width of the flower bed be represented as x/2 ,and the area of the flower bed be taken as it is since it is given. We then follow the formula for area which is length multiplied to width which is:

A = LW

we then substitute them

34 square feet = x (x/2)

now all we need to do is find x first.

34 square feet = x squared / 2

now do a cross multiplication

68 square feet = x squared

then get the square root of both sides

8.246 feet = x

Since x is equal to the length of the flower bed, all we have to do to get the width of it is to divide it by 2. So...

W = x/2

W = 8.246 feet / 2

W = 4.123 feet

And since the problem asked it to find the width of the flower bed to the nearest tenth of a foot, the answer would be 4.1 ft.

What is the remainder when 19x^2+15x+12 is divided by x-2?

Answers

Answer:

118

Step-by-step explanation:

Consider the equation below.
2(n + 4) = 8–6(n-4)
Solve the equation for n.
A
-3
B
D
16

Answers

i think the answer is -3 i’m not sure

Answer:

N=3

Explanation:

Look at image below

Can someone please help ?! Thanks !

Answers

Answer:

23

Step-by-step explanation:

The pattern is adding by 5

18+5=23

Hope this helps! :)

Answer:

23

Step-by-step explanation:

each one is 5+ its a pattern so the last one needs to be 5+ so 19 20 21 22 23

Please help! No links or Files please :)

Leonard made a deposit of $4,500 into a savings account which earns 7% annual compound interest. Assuming he makes no other deposits or withdrawals, which of the following shows the amount of interest his account should earn after 15 years?

Answers

Answer:

29.6925

Step-by-step explanation:

Select the equivalent expression.

Answers

the equivalent expression is C

what is the value of 642/3?

Answers

Step-by-step explanation:

[tex] \frac{642}{3} \\ [/tex]

= 214

Answer:

[tex]214[/tex]

Step-by-step explanation:

[tex] \frac{642}{3} [/tex]

[tex] = 642 \div 3 \\ = 214[/tex]

Hope it is helpful...

3
PLEASE HELP ME
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar
Consider the equation.
4(pr + 1) = 64
The value of xin terms of pis
The value of x when pis -5 is
Reset
Next

Answers

Answer:

ans : x in terms of p is 15/p and if p is -5 than x= -3

Step-by-step explanation:

4( px +1 ) = 64

( Px + 1 ) = 64/4

px = 16 - 1

x = 15/p

and , if p= -5 than,

x = 15 / (-5)

= - 3

.. The solution of which quadratic Inequality is shown on the number line?
O (3+6) (3 – 4) <0
O (2-6) (2 - 4) > 0
O (30 – 6)(+4) <0.
O (30 – 6) (x – 4) <0

Answers

Answer:  Choice C

Explanation:

If you graphed (x-6)(x+4) on the xy plane, then you'll see a parabola forming. This parabola has roots at x = -4 and x = 6. Between these roots, the curve is below the x axis. This visually shows that (x-6)(x+4) is negative when -4 < x < 6.

Furthermore, we can say that (x-6)(x+4) is negative or zero when [tex]-4 \le x \le 6[/tex] which corresponds directly to the number line graph your teacher gave you. The endpoints being closed circles mean "include this as part of the shaded solution set".

Find the gradient of the line segment between the points (-4,4) and (0,12).

Answers

gradient = 12-4 ÷0-(-4)=8÷4=2

Answer:

gradient = 2

Step-by-step explanation:

Calculate the gradient m using the gradient formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (0, 12)

m = [tex]\frac{12-4}{0+4}[/tex] = [tex]\frac{8}{4}[/tex] = 2

8.
How is the graph of y=5x^2-4 different from the graph of y=5x^2?

A. It is shifted 4 units to the left.

B. It is shifted 4 units to the right.

C. It is shifted 4 units down.

D. It is shifted 4 units up.

Answers

Answer:

C. It is shifted 4 units down.

Step-by-step explanation:

Shifted four units down. When a number is at the end of the equation, it means that that number shifts up or down depending on its sign.  

Answer:

It is shifted 4 units down

Step-by-step explanation:

When we have a function the constant number that is not multiplied by a variable, in this case, 4 in the first function, indicates where the function will intercept the y-axis, or when x is equal to 0.

In this case, we have two functions:

y = 5x^2 - 4, in which -4 is the constant that will determine where the function intercepts the y-axis. So if we say that we have x=0, then y=-4

In the second function we have:

y= 5x^2, this function is very similar but we don´t have another number after 5x^2, so we will have a similar graph but when x = 0 then y = 0.

So the first graph is shifted 4 units down. We can see this in the attachment.

It shifted 4 u it’s to the left

It is shifted 4 units to the left.

In the figure, the area of the shaded region is 224π cm^2.
What is the value of x?

Answers

Answer:

6330,24

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

x is the radius of the inner white circle

The area of the whole circle is

A = πr² = π × 18² = 324π cm²

The area of the shaded region = 224π cm²

Then the area of the white circle = 324π - 224π = 100π

Area of white circle = πx² = 100π ( divide both sides by π )

x² = 100 ( take the square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

Juan has 2 1/4 L of fruit purée Juan uses 3/8 leader from pier to make once movie which expression can be used to find the number of movies you can make

Answers

Answer:

See explanation

Step-by-step explanation:

Total fruit purée = 2 1/4 L

purée for One movie = 3/8 L

which expression can be used to find the number of movies you can make

Number of movies you can make = Total fruit purée ÷ purée for One movie

= 2 1/4 ÷ 3/8

= 9/4 ÷ 3/8

= 9/4 × 8/3

= (9*8) / (4*3)

= 72 ÷ 12

= 6

Number of movies you can make = 6

Describe the graph of the linear function with this equation: y + 3 = 1/3 (x-2)

Answers

Answer:

it has a slope of 1/3 and a point on the graph is (2,-3)

Step-by-step explanation:

in the diagram below P(x:y)is a point in the third quadrant. ROP=B and 17 cos B is equal to -15 calculate the values of x and y and r ​

Answers

you showed no diagram or any picture / screenshot

0.45 written as a common fraction, in its simplest form, is

Answers

Answer:

920

So, 0.45=920 as a proper fraction in simplest form.

investors buy a studio apartment for $240,000 . Of this​ amount, they have a down payment of 60,000. Their down payment is what percent of the purchase​ price? What percent of the purchase price would a ​$108,000 down payment​ be?

Answers

Answer:

25%

bc its 1/4 = 0.25 of the purchase price.

the other percentage is 45

108/240 = 54/120 = 18/40 = 4.5/10 = 45/100

A party rental company has chairs and tables for rent the total cost to rent 12 chairs and 2 tables is $39. The total cost to rent 3 chairs and 5 tables is $57 what is the cost to rent each chair and each table

Answers

Answer:

Let C = cost to rent each chair

Let T = cost to rent each table

 

4C + 8T = 73

2C + 3T = 28

 

Multiply the 2nd equation by (-2) and then add the equations together  

 

4C + 8T = 73

-4C - 6T = -56

 

2T = 17

T = 17/2 = 8.5

 

Plug this in to the 1st equation to solve for C

 

4C + 8(17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

 

So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Which Equation has a slope of 1/4 and a y intercept of 3

Answers

Answer:

option 4 see desmos graph will help you

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