Question

The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is a.√3 m b.2√3 m c.5√3m d.10√3 m

Answer 1

Answer: d

Explanation:

Note that the distance to the tower and the height of the tower create a right triangle at the base of the tower. The equation to find the height of a right triangle is to multiply the length times the tangent of angle β.

Given:

b = a · tanβ

tan(30°) = √3/3

Step 1: Solve

b = (30/1) · (√3/3)

b = (30 · √3) / (1 · 3)

b = (30√3) / (3)

b = 10√3