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 50o, find, correct to 2 decimal places, the height of the mast.
A
8.60m
B
7.83m
C
7.51m
D
7.15m
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
In the diagram give, \(\alpha\) 50o(alternative angles)
tan\(\alpha\) = \(\frac{h}{6}\)
h = 6tan\(\alpha\)
= 6tan 50o
= 6 x 1.1918
= 7.1508
= 7.15m (2d.p)
Source: Myschool Past Questions Archive (Record #46227)