A kite is flying at a height of 75 metres from the ground level, attached to a string inclined at 60° to the horizontal. Find the length of the string to the nearest metre.

Question

A kite is flying at a height of 75 metres from the ground level, attached to a string inclined at 60&#xB0; to the horizontal. Find the length of the string to the nearest metre.

Philoid · Accepted Answer

Let the length of the wire = l (m)

In ∆ABC,

Sin 60° =

=

= 2×75

l =

l = ⇒ ⇒ 50√3 ⇒ 86.6 m.

Therefore length of string is 86.6 m.