Question

From a window 15 metres high above the ground in a street the angles of elevation and depression of the top and the foot of another house and on the opposite side of the street are 30° and 45° respectively.Show that the height of the opposite house is 23.66metres.(take √3=1.732)

Answer 1

IF AB=HEIGHT OF WINDOW=15
XYZ=HEIGHT OF HOUSE
X IS BASE
Z IS TOP
XY = AB =15
TAN 15=H-15/15=1/√3
H-15=15/√3=15/1.732=8.66
H=15+8.66=23.66