A man 1.5 meter tall is 30√3 meter away from a building. When he sees the top of building the angle of elevation is 30°. Find the height of the building?

July 28, 2023

Question	A man 1.5 meter tall is 30√3 meter away from a building. When he sees the top of building the angle of elevation is 30°. Find the height of the building?
Type	multiple_choice
Option	31.5m	correct
Option	30 m	incorrect
Option	53.4m	incorrect
Option	48 m	incorrect

Solution:

Let AD be the man and BE the building.

Now draw a line DC so that DC is perpendicular to BE.

Now, BC = AD = 1.5 m

And, DC = AB = 30√3 m

Now, Height of building, BE = BC + EC

= 1.5 + 30 = 31.5 m (Option A)