The angle of depression of a point on the ground from the top of a building is 20.3<sup>o</sup>. If the foot of the building is 40m, calculate the height of the building, correct to one decimal place

The angle of depression of a point on the ground from the top of a building is 20.3o. If the foot of the building is 40m, calculate the height of the building, correct to one decimal place

The angle of depression of a point on the ground from the top of a building is 20.3^o. If the foot of the building is 40m, calculate the height of the building, correct to one decimal place

A 37.5m
B 28.1m
C 27.8m
D 14.8m
E 13.9m

waec 1989 mathematics

The correct answer is D. 14.8m

Tan 69.7 = 40/h

h = 40/tan 69.7 = 40/2.703 h = 14.79 = 14.8

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