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trapecia [35]
3 years ago
10

50 POINT QUESTION!! A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. W

hen first noticed, the angle of depression to the boat is 16°23'. When the boat stops, the angle of depression is 49°29'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.
This has already been answered but something seemed off so if u could answer it for that would be great thx

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0

See the attached picture.

Answer could change slightly depending on how all the steps are rounded.

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Find the value of x so that FED ~ZYZ <br> need help asap
Paul [167]

Answer:

x=7.5

Step-by-step explanation:

To show that the triangles are similar, we simply need to show that all sides are proportionate.

So,  we create a proportion

\frac{FE}{ZY} =\frac{ED}{XY} = \frac{FD}{XZ}

Then we plug in the values

\frac{6}{12} = \frac{7}{14}  = \frac{2x-5}{22}

\frac{6}{12} and \frac{7}{14} can be simplified to \frac{1}{2}, so that is our ratio of similarity

then we know

\frac{1}{2} = \frac{2x-5}{22}

Now solve

1. Cross multiply

2×(2x-5) = 22

2. Distribute

4x-8 = 22

4x=30

x=7.5

There is your answer, x=7.5

Hope this helped.

8 0
3 years ago
Joni has two U.S coins in her pocket. One of the coins is not a dime. If the total value of coins in her pocket is 11 cents, wha
Snezhnost [94]
There is one dime and i penny

because it says one coin is not a dime 
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6 0
3 years ago
Help please i need the answer to this
USPshnik [31]

Answer:

5

Step-by-step explanation:

The slope is the one with the x next to it

3 0
3 years ago
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Solve the system of equations using substitution. Write the solution as an ordered pair.
IrinaK [193]

Answer:

  (-3, 3)

Step-by-step explanation:

Substitute for y:

  x+6 = -2x -3

  3x = -9 . . . . . . . add 2x -6 to both sides

  x = -3 . . . . . . . . divide by 3

  y = (-3) +6 = 3 . . substitute for x in the first equation

The solution is ...

  (x, y) = (-3, 3)

4 0
3 years ago
I have been stuck on the problem for so long. please help me:
Xelga [282]

Answer:

D-2

Step-by-step explanation:

You can use elimination to get the value of y. Move numbers to one side and x and ys to the other side. To use elimination, multiply the first equation with 2. You will get 2x+2y=24. add it with the equation below. y will be eliminated and you will get the value of x. X=10. Plug in x and get the y value. Y=2

6 0
3 years ago
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