Question

The angle of elevation to the top of a very tall Building is found to be 13° from the ground at a distance of 1 mi from the base of the building. Using this information, find the height of the building. (Round your answer to the nearest foot.)

Answer 1

The height of the building is 0.23mi

Step-by-step explanation:

Hello,

To find the height of the building, we have to relate the distance between the building and the angle of elevation.

This would give us a right angle triangle with 13°.

See attached document for better illustration.

Assuming the height of the building is h,

Using SOHCAHTOA

Tanθ = opposite/adjacent

θ = 13°

Opposite = h

Adjacent = 1mi

Tan13 = h / 1

h = 1×tan13

h = 1 × 0.23

The height of the building is 0.23mi