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: Option D
D. 7.15m
Explanation
In the diagram give, α 50°(alternative angles)
tanα = h/6
h = 6tanα
= 6tan 50°
= 6 x 1.1918
= 7.1508
= 7.15m (2d.p)
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