An object is 6m away from the base of a mast. If the angle of...
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°, 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: D. 7.15m
Explanation
tan\(\alpha\) = \(\frac{h}{6}\)
h = 6tan\(\alpha\)
= 6tan 50o
= 6 x 1.1918
= 7.1508
= 7.15m (2d.p)
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