Question

2) A kite in the air has its string tied to the ground, The length of the string is 50m. Find the

length of the kite above the ground when the angle of elevation of the string to the ground is 55
degrees

Answer 1

Answer: 40.96 meters.

Explanation:

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

sin α = opposite side / hypotenuse

Where α is the angle of elevation of the string 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 (x) is the length of the kite above the ground

Replacing with the values given:

sin 55 = x/ 50

Solving for x

sin55 (50) =x

x= 40.96 m

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