Question
Cherry is flying a kite that is 27 meters above the ground. The angle formed with the string and the ground is 39°. How long is the string? Write the equation using trigonometry and solve showing all of your work to support your answer. Round your answer to the nearest tenth.
Answers
GPT 3.5
Let x be the length of the string.
In a right triangle formed by the kite string, the ground, and the height of the kite, we have:
sin(39°) = 27/x
To find x, we can rearrange the equation:
x = 27 / sin(39°)
x = 27 / 0.6293
x ≈ 42.9
Therefore, the length of the string is approximately 42.9 meters.
In a right triangle formed by the kite string, the ground, and the height of the kite, we have:
sin(39°) = 27/x
To find x, we can rearrange the equation:
x = 27 / sin(39°)
x = 27 / 0.6293
x ≈ 42.9
Therefore, the length of the string is approximately 42.9 meters.