Question

if two towers of height x and y subtended angles of 30° and 60° respectively at the centre of the line joining their feet, then x:y=

Answer 1

Answer:

Step-by-step explanation:

Let total distance between two towers be 2h.

For 1st tower

Height=x

Base =2h/2=h

Angle of elevation =60°

Since

Tan60°=x/h

£3=x/h

X=h £3

Similarly for 2nd tower

Tan 30°=y/h

1/£3=y/h

Y=h/ £3

Therefore x:y=(h £3)/(h/£3)

=h £3÷h/£3

=3/1

=3:1

Therefore x:y=3:1