Question

1) A contractor needs to know the height of a building to estimate the cost of a job. From a point 96 feet away from the base of the building the angle of elevation to the top of the building is found to be 46 . Find the height of the building. Round your answer to the hundredths place.

Answer 1

The answer to your question is: height = 99.41 feet.

Explanation:

Data

distance = 96 feet away from a building

angle = 46

height = ?

Process

Here, we have a right triangle, we know the angle and the adjacent leg, so let's use the tangent to find the height.

tan Ф = opposite leg / adjacent leg

opposite leg = height = adjacent leg x tan Ф

height = 96 x tan 46

height = 96 x 1.035

height = 99.41 feet.