The angle of elevation of a building 80 m high from a man on the ground is 50.41 degrees. How far is the man from the building?

Question

The angle of elevation of a building 80 m high from a man on the ground is 50.41 degrees. How far is the man from the building?

Please show illustration.

Answer 1

The height of building is 80m(given) and angle of elevation 50.41 degree

Let take x is the distance between man and foot of building

By Tan theta =perpendicular height /base

Now put the value Tan50.41 =80/x

x=80/Tan50.41 by cross multiplication

x=80/1.209222 by tangent calculator Tan50.41 degree=1.209222

x=66.1582meter