The length of a string between a kite and a point on the ground is 90 metres. If the string makes an angle with the ground level such that tan=15/8, how high is the kite? Assume that there is no slack in the string.

Question

Philoid · Accepted Answer

Let the height of string = h (m)

Tan θ = (given)

Sin θ =

In ∆ABC,

Sin θ =

=

17h = 90×15

h = ⇒ 79.41 m.

Therefore length of string = 79.41 m.