Question

Brittany's kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite

measures 70°, how high is the kite above Brittany's head?

Answer 1

61.1 m is the correct answer.

Explanation:

Given that

Brittany's kite has a string length = 65 m

Angle of elevation of kite =
`70^\circ`

A right angled triangle can be constructed for the given situation.

Please refer to the attached figure.

`\triangle BFK` in which B is the position of Brittany.

K is the position of kite and

F is the point of field above which the kite is flying.

Given that the side BK = 65m

`\angle B = 70^\circ`

To find, side FK = ?

We can use sine trigonometric identity to find the value of FK.

We know that :

`sin\theta =(Perpendicular)/(Hypotenuse)`

`\Rightarrow sinB = (FK)/(BK)\\\Rightarrow sin70 = (FK)/(65)\\\Rightarrow FK = 65 * 0.94\\\Rightarrow FK = 61.1\ m`

Hence, the answer is 61.1 m.