Asteady wind blows a kite due west. the kite's height above ground from horizontal position x = 0 to x = 120 ft is given by y = 150 − 1 40 (x − 50)2. find the distance traveled by the kite. (round your answer to one decimal place.)

The derivative of the vertical position is
.. y' = 2/40*(x -50)
so the integral that gives the length of the curve the kite traveled is


It is convenient to let a graphing calculator compute this integral numerically. If you want to do it analytically, a table of integrals can be handy. The indefinite integral is

This evaluates to
feet

Hello! i hope this
since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.