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The angle of elevation of a building from a mea... - JAMB Mathematics 1997 Question

The angle of elevation of a building from a measuring instrument placed on the ground is 30o. If the building is 40m high, how far is the instrument from the foot of the building?

A
\(\frac{20}{√3}\)m
B
\(\frac{40}{√3}\)m
C
20√3m
D
40√3m
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Correct Option: D

(\frac{40}{x}) = tan 30o

x = (\frac{40}{tan 36})

= (\frac{40}{1\sqrt{3}})

= 40√3m

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