Question

28.
A man observes two vertical po
es two vertical poles which are fixed opposite to each other on
either side of the road. If the width of the road 15
If the width of the road is 90 feet and heights of the
pole are in the ratio 1 : 2, also the angle of elevat
1:2, also the angle of elevation of their tops from a
point between the line joining the foot of
the line joining the foot of the poles on the road is 60°. Find
the heights of the poles.​

Answer 1

Answer:

Step-by-step explanation

Heights be x and 2x

Distance of x=y and 2x=90-y

Tan60°=x÷y

Root3=x÷y

x=root3 y-------1

Tan60°=2x÷90°-y

x=(root3)(90-y)÷2-------2

From 1 n 2

(Root3)(y)=(root3)(90-y)÷2

3y = 90

y=30

Heights of poles X=(root3)30

2X=(root3)60