An object is 6m away from the base of a mast. If the angle of…

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^o, find, correct to 2 decimal places, the height of the mast.

Correct Answer: Option D

Explanation

In the diagram give, (alpha) 50^o(alternative angles)
tan(alpha) = (frac{h}{6})
h = 6tan(alpha)
= 6tan 50^o
= 6 x 1.1918
= 7.1508
= 7.15m (2d.p)