Question

Marla is flying a kite. the angle of elevation frkm marla to the kite is 32 degrees. the string is 100 ft. what is the horizontal distance from marla to a point on the ground directly beneath her.

A. 50 ft
B. 60 ft
C. 70 ft

Answer 1

Using trigonometry, the horizontal distance from Marla to a point on the ground directly beneath the kite can be determined to be approximately 84.9 feet, which is not represented by any of the provided options A, B, or C.

Step-by-step explanation:

Marla is flying a kite, and the angle of elevation from her to the kite is 32 degrees, with the string of the kite being 100 ft long. To determine the horizontal distance from Marla to the point on the ground directly beneath the kite, we can use trigonometry, specifically the cosine function. The cosine of the angle of elevation (which is 32 degrees) is equal to the adjacent side (the horizontal distance we want to find) over the hypotenuse (the length of the kite string, which is 100 ft).

Mathematically, this can be expressed as:

cos(32 degrees) = (horizontal distance) / 100 ft

After solving for the horizontal distance, we find that it is approximately 84.9 ft. Therefore, none of the options A (50 ft), B (60 ft), or C (70 ft) are correct.