Question

From a window 18m high above the ground of a house on a side of a street , the angle of elevation and depression of the top and foot of another house on the opposite side of the street are 30° and 60° respectively . find the height of the house on the opposite side of the street

Answer 1

Answer: 12m

Step-by-step explanation:

tan60 = 18 / d

d= 18/$\sqrt{3}$ = 6$\sqrt{3}$

tan30 = (18-h) / 6$\sqrt{3}$

18 - h = 6

h= 12m