Question

Nikita's kite is flying at the end of her string, which is 100 m long. She estimates the angle of elevation to the kite is . How high is the kite flying, given this estimate?*

Answer 1

To find the height of Nikita's kite, you would use the sine function with the length of the string and the given angle of elevation. For example, if the angle were 30 degrees, the kite would be 50 meters high.

Step-by-step explanation:

The student's question appears to be missing the angle of elevation required to calculate the height of Nikita's kite. However, I'll provide a general explanation on how to solve such a problem when the angle is given.

When Nikita's kite is flying at the end of a 100 m string and the angle of elevation to the kite is provided, you can calculate the height using trigonometry. Specifically, the sine function relates the height of the kite to the length of the string (hypotenuse) and the angle of elevation:

1. Determine the sine of the angle of elevation (sin θ).
2. Multiply the length of the string by sin θ to find the height (h).
3. h = 100 m * sin(θ).

Assuming an example angle of elevation of 30 degrees, the calculation would be h = 100 m * sin(30°) = 100 m * 0.5 = 50 m. Therefore, the kite would be at a height of 50 meters.