Question

Find the angle of elevation if the building is 653 feet tall and the observer is 150 feet from the building. Round to the nearest tenth of a degree

Answer 1

Angle of elevation = 77.1°

Explanation:

The formula to solve for angle if elevation is given below as:

tan θ = Opposite/ Adjacent

Where

Opposite = Height of the building = 653 ft

Adjacent = Distance from the building = 150 ft

θ = Angle of Elevation = ?

Hence:

tan θ = 653ft/150ft

θ = arc tan (653ft/150ft)

= 77.063069956°

Approximately to the nearest tenth = 77.1°