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## A boy on top of a building observe that the angle of depression of a goat in horizontal ground is 47.if the goat is 23m away from the foot o

Question

A boy on top of a building observe that the angle of depression of a goat in horizontal ground is 47.if the goat is 23m away from the foot of the building,how high is the building,correct to the nearest meter? (ignore the height of the boy)

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Mathematics
3 years
2021-07-15T12:29:31+00:00
2021-07-15T12:29:31+00:00 1 Answers
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## Answers ( )

Answer:Step-by-step explanation:tan 47° = opposite side /adjacent side

=>1.072 = AB/BC

=>1.072 × BC = AB(height of the building)

=>1.072 × 23 = h ( As assumed height of building is h )

h = 24.656

= 25 metres ( nearest metre )