Cherry is flying a kit 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 and solve showing all of your work to support your answer. Round your answer to the nearest tenth.
To find the length of the string, we can use trigonometry. The string acts as the hypotenuse of a right triangle, with the height of the kite being the opposite side and the distance from Cherry to the kite being the adjacent side.
Since we know the angle formed with the string and the ground is 39° and the height of the kite is 27 meters, we can use the sine function to find the length of the string:
sin(39°) = opposite/hypotenuse
sin(39°) = 27/hypotenuse
hypotenuse = 27/sin(39°)
hypotenuse ≈ 43.4 meters
Therefore, the length of the string is approximately 43.4 meters.