Question

WIL LUWCI.
b) A vertical pole on one side of a street subtends a ri
ght angle at the top of a lamp post exactly on
the opposite side of the street. If the angle of elevation of the top of the lamp post from the base
of the pole is 58°30' and the width of the street is 30 m, find the heights of the pole and the
lamp post
tell me solution
​

Answer 1

Answer:

Now tanβ=60h, tan(α+β)=20h

tan(α+β)=1−tanαtanβtanα−tanβ = 20h

=> 1−120h21+60h = 20h

120−h60+2h=20h

h2−80h+1200=0

By solving this we get h = 20m or 60m.