Question

. A boy on the top of a building observes that the angle of depression of a goat on the 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 metre

Answer 1

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 )

is the required answer. Hope this brings a wide smile .