Question

Kyra is standing 50 feet from the kite she is flying. The string of the kite forms an angle of 27° with the ground. How high in the air is the kite? (1 point) Responses 98.13 ft. 98.13 ft. 25.48 ft. 25.48 ft. 22.66 ft. 22.66 ft. 32.18 ft.

Answer 1

To find the height of the kite, we can use trigonometry. Let's call the height of the kite h.

From the given information, we have:
Opposite side (h) = height of the kite
Adjacent side (50 ft) = distance from Kyra to the kite
Angle (27°) = angle formed between the string of the kite and the ground

Using the trigonometric function tangent (tan), we can set up the following equation:

tan(27°) = h/50

Solving for h:

h = 50 * tan(27°) ≈ 22.66 ft

Therefore, the height of the kite is approximately 22.66 ft.