Question

A boy is flying a kite. The length of the string is 20 meters and the horizontal distance between the boy and the kite is 15 meters. Assuming there is no slack in the string, find the height of the kite from the ground.

A. v165 m
B. v179 m
C. v178 m
D. v175

Answer 1

To find the height of the kite from the ground, we can use the Pythagorean theorem. The height of the kite is approximately 13.23 meters.

Step-by-step explanation:

To find the height of the kite from the ground, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the length of the string (20 meters) and one side is the horizontal distance between the boy and the kite (15 meters).

Using the Pythagorean theorem, we can calculate the height of the kite as follows:

Height of the kite = sqrt(20^2 - 15^2)

Height of the kite = sqrt(400 - 225)

Height of the kite = sqrt(175)

Height of the kite ≈ 13.23 meters