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!

2nd one in the first row is correct

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x