An object is 6m away from the base of a mast. If the angle o...
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
Correct answer is D
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)
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