Question

A kite is flying 76

nearest tenth
of the ground, and its string is pulled tout. The angle of elevation of the kite is 43. Find the length of the string. Round your answer to the
nearest tenth

Answer 1

The length of string from kite to the ground is 111.5 feet

Explanation:

Given figure as :

The height from the ground at which kite is flying = BC = h = 76 feet

The angle of elevation of the kite = Ф = 43°

Let The length of the string = AC = x feet

Now, From figure

∵ Sin angle =
`(\textrm Perpendicular)/(\textrm Hypotenuse)`

I.e Sin Ф =
`(\textrm BC)/(\textrm AC)`

Or, Sin 43° =
`(h)/(x)`

Or, 0.6819 =
`(76)/(x)`

Now, cross multiplication

∴, x =
`(76)/(0.6819)`

I.e x = 111.453 feet

So, AC = x = 111.5 feet

Hence The length of string from kite to the ground is 111.5 feet Answer