Question

A young boy let’s out 30 feet of string on his kite. If the angle of elevation from the boy to his kite is 27”, how high is the kite?

Answer 1

The height of the kite from the ground is 13.617 feet

Explanation:

Given as :

The measure of the string = 30 feet

The angle of elevation from the boy to his kite = 27°

Let the height of the kite from ground = H feet

So, From Triangle

Sin angle =
`(\textrm perpendicular)/(\textrm Hypotenuse)`

Or, Sin 27° =
`(\textrm H)/(\textrm 30)`

or, H = 30 × Sin 27°

I.e H = 30 × 0.4539

∴ H = 13.617 feet

Hence the height of the kite from the ground is 13.617 feet Answer