Question

3) From the top of a building 60m high, the angles of depression of the top and the bottom of a Vertical lamp post are observed to be 30 and 60 degrees respectively. Find a) The horizontal distance between the lamp post and the building. b) The difference between the heights of the building and the lamp post. TO --------- 60m 307 hm

Answer 1

ΔABD

tanA= opposite base

tan 60 =

60 T = tan 60°

$x=\frac{60}{\sqrt{3} }$

m

I = 34.641

ΔAEC

tanA= opposite base

60 - h tan 30 =

60 - h = x tan 30

h = 60 - x tan 30

h = 60 - 34.641 tan 30

m

h = 40

60-h 30° бо Е 60°