Question

A student is standing with a banner at the top of a 100 m high college building. From a point on the ground, the angle of elevation of the top of the student is $60^{\circ$ and from the same point, the angle of elevation of the top of the tower is $45^{\circ}$. Find the height of the student ?}

• A. 35.7 m
• B. 75.2 m
• C. 50 m
• D. 73.2 m
• E. 75 m

Hint:

In height and distance problems involving two objects stacked vertically, calculate the base distance $d$ first using the known height, then substitute it into the tangent equation for the combined height.

Answer 1

The Correct Option is D