Question

Jerome is flying a kite on the beach. The kite forms a 67 degree angle to Jerome and is attached to a 120-foot long string.How far above the ground is the kite?

Answer 1

To find the height of the kite above the ground, we can use trigonometry and the given values of the angle and string length. Applying the sine function, the height of the kite is approximately 108.49 feet.

Step-by-step explanation:

To solve this problem, we can use trigonometry. We know that the length of the string is 120 feet and the angle between the string and the ground is 67 degrees. We can use the sine function to find the height of the kite above the ground.

First, we need to find the length of the side opposite to the angle, which represents the height of the kite. We can use the equation sin(theta) = opposite/hypotenuse, where theta is the angle and the hypotenuse is the length of the string.

Plugging in the values, we have sin(67) = opposite/120. Solving for opposite, we get opposite = 120 * sin(67).

Using a calculator, the height of the kite is approximately 108.49 feet.