Question

A kite is flying at a height of 60 m above the ground. The string attached to the kite is tied at the ground. It makes an angle of 60° with the ground. Assuming that the string is straight, find the length of the string.

Answer 1

Given data:

• Height of kite above the ground: 60 m
• Angle between the string and the ground: 60°

Formula used:

• sine function: sin(angle) = opposite/hypotenuse

Solution: We can use the sine function to find the length of the string:

• sin(60°) = opposite/hypotenuse, where opposite is the height of the kite above the ground, and hypotenuse is the length of the string.
• Plugging in the values, we get: sin(60°) = 60/hypotenuse.
• Solving for hypotenuse, we get: hypotenuse = 60/sin(60°).
• Evaluating sin(60°) using a calculator, we get: sin(60°) = 0.86603.
• Plugging in the value of sin(60°), we get: hypotenuse ≈ 69.28 meters.

Answer: The length of the string is approximately 69.28 meters.