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.
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.