Posted by Mary on Thursday, September 29, 2011 at 3:52pm.
An airplane is flying in still air with an airspeed of 325 miles per hour. If it is climbing at an angle of 20°, find the rate at which it is gaining altitude.

Calculus  Anonymous, Thursday, September 29, 2011 at 4:50pm
You're going to use sin = 0pposite / Hypotenuse.
In this case the hypotenuse is 325 mph, the opposite side is the gain in altitude, 20 degrees is your angle.
Therefore sin 20 = Opposite / 325 mph
sin 20 * 325 = Opposite
111.15 mph = opposite
The airplane is climbing at a rate of 111.15 mph
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