Michael is 6 feet tall and is standing on top of a building, looking at a park in the distance.
The angle of depression is 53°. If the building
you are standing on is 100 feet tall, how far
away is the park? Round your answer to the
nearest tenth.
ft away from the
The park is
building.

79.9 feet.

Step-by-step explanation:

If you draw out the problem, you can easily visualize it.

We are given the opposite side length and the angle, and we need to find the adjacent. So, we will use tangent (soh cah toa - tangent: opposite/adjacent).

tan(53) = (100 + 6) / x

tan(53) = 106 / x

x = 106 / (tan(53))

x = 106 / 1.327044822

x = 79.87672931

Round your answer to the nearest tenth!

So, the park is approximately 79.9 feet away!

Hope this helps!

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

answer: yes i agree that you should not put it on/p>

step-by-step explanation: the reason for this is that it wastes other peoples time and also make them fail as well and that is never good.