Question

Brian's kite is flying above a field at the end of a 68m string.If the angle of elevation to the kite measures 70 degrees,how high is the kite above Brian's head?

Answer 1

Answer:

$h = 63.92\ m$

Step-by-step explanation:

Given:

Angle of elevation = 70°

Length of string = 68 m

We need to find the height of the kite.

Solution:

Requirement figure attached in file.

Where:

BC = 68 m

AC = h (Height of the kite)

∠ABC = 70°

Using Cosine rule to find the height of the kite.

$AC = BC\times sin(70)$

$h = 68\times 0.94$

$h = 63.92\ m$

Therefore, height of the kite from Brian's head $h = 63.92\ m$.