Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 44°, and the kite string forms a straight segment that is 90 feet long.

Explain how to find the distance between the ground and the kite. Include a description of the triangle you drew to help you solve, including the variables and measurements you assigned to each side and angle. Round your answer to the nearest foot.

Question

Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 44°, and the kite string forms a straight segment that is 90 feet long.

Explain how to find the distance between the ground and the kite. Include a description of the triangle you drew to help you solve, including the variables and measurements you assigned to each side and angle. Round your answer to the nearest foot.

snowflake0531 · Answer

|dw:1642374269743:dw|
x is what we need to solve for

snowflake0531 · Answer

I hope you understand the image

snowflake0531 · Answer

$$sin(\theta)=\frac{opposite}{hypotenuse}\cos(\theta)=\frac{adjacent}{hypotenuse}\tan(\theta)=\frac{opposite}{adjacent}$$
theta is the 44 degrees, and we have the opposite side and the hypotenuse, so we use sin

so taking the first formula, sin(44) = x/90
x is sin(44) * 90, which you can solve with a calculator