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An object is 6m away from the base of a mast If... - WAEC Mathematics 2016 Question

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
Ask EduPadi AI...
Correct Option: 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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