An object is 6m away from the base of a mast. If the angle of depression of the object from the top of the mast is 50°, find, correct to 2 decimal places, the height of the mast.

A. 8.60m
B. 7.83m
C. 7.51m
D. 7.15m

Correct Answer: Option D

D. 7.15m

Explanation

In the diagram give, α 50°(alternative angles)

tanα = h/6

h = 6tanα

= 6tan 50°

= 6 x 1.1918

= 7.1508

= 7.15m (2d.p)