Mathematics
WAEC 2016
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.
-
A.
8.60m
-
B.
7.83m
-
C.
7.51m
-
D.
7.15m
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)
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