Question

Emma is flying a kite and has let out 32 m of string. She holds the string to the ground and estimates that it makes an angle of 45° with the ground. Approximately how high, to the nearest tenth of a meter, is Emma's kite above the ground?

Answer 1

The height of Emma's kite above the ground is approximately 32 meters.

Step-by-step explanation:

To find the height of Emma's kite above the ground, we can use trigonometry. The side opposite to the angle of 45° is the height we are looking for. The side adjacent to the angle is the horizontal distance, which is 32 m. Since the tangent of 45° is equal to the ratio of the opposite side to the adjacent side, we can use the tangent function to solve for the height. Using the equation tan(45°) = opposite/32, we can rearrange the equation to solve for the height: height = tan(45°) * 32 = 32 * 1 = 32 m. Therefore, Emma's kite is approximately 32 meters high above the ground.