Question

A kite is attached to a string. Find the length of the string, when the height of the kite is 60 m and the string makes an angle 30° with the ground.

Answer 1

Let the length of the rope be x m 

`sin 30^circ = 60/x `

`=> 1/2 = 60/x`

∴ x = 120 m

So the length of the rope is 120 m

Answer 2

`tan 30^circ = (AB)/(BC)`

`1/sqrt(3) = 60/(BC)`

`BC = 60sqrt(3)`

`AC = sqrt((AB)^2 + (BC)^2`

= `sqrt((60)^2 + (60sqrt(3))^2`

= `60 sqrt(1 + (sqrt(3))^2`

= 60 × 2

AC = 120 m