Brian'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 Brian's head?

61.08 meters

Explanation:

To solve this question, we need to imagine a triangle, formed with the string of the kite being the hypotenuse, its projection on the ground, and the height of the kite (the result we want to calculate)

The angle formed by the ground and the kite's string is 70 degrees. The height of the triangule is opposite to that angle, and the hypotenuse is the 65 meters string.

Knowing that the height is opposite to the 70 degrees angle, we can calculate it multiplying the hypotenuse by the sine of 70 degrees, which is 0.9397:

H = 65 * sin (70) = 65 * 0.9397 = 61.08 meters