Question

You are laying in a field flying a kite and have let out 60 meters of string. The kites angle of elevation with the ground is 40 degrees, if the string is stretched straight, how high is the kite above the ground

Answer 1

Answer: 38.56 m

Explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.

sin α = opposite side / hypotenuse

Where α is the angle of elevation of the kite to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the string), and the opposite side (c) is the length of the kite above the ground

Replacing with the values given:

sin 40 = c/60

Solving for c

sin40 (60) =c

c= 38.56 m

Feel free to ask for more if needed or if you did not understand something.

Answer 2

38.6m

Explanation:

Theory of solving angle of elevation problem bus to take it as a right angle triangle.

The length of the the rope is the hypotenuse and the angle formed is the hypotenuse angle.

To determine the height , we take the side as opposite the angle.

Sin (angle) = height/hypotenus

Sin40= height/60

0.6428 *60 = height

38.568 = height

Approximately 38.6m