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Kim walks toward an eighth story hotel in stops to look up to the top of the building. The angle of elevation to the top of the hotel is 42°. If the height of the hotel is 112 feet about how far away is Kim from the hotel?

Respuesta :

The distance of Kim from the  eighth story hotel is approximately 124.4 feet.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

The height of the hotel is the opposite side of the triangle formed.

Therefore,

tan 42 = opposite / adjacent

tan 42 = 112 / a

cross multiply

a tan 42 = 112

a = 112 / tan 42

a = 112 / 0.90040404429

a = 124.388607781

a = 124.4 feet.

learn more on right triangle here: https://brainly.com/question/9429123

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