Question
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.
Answers
Anonymous
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
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
anon win
why are people disliking Anonymous' answer? it's correct.
anon lose
because it's wrong
Anonymous
dude ur supposed to take the derivative
Jonathan
Finding the derivative gives you the same answer, but we have to the set our calculators to degree and not radian in order to solve it the way anonymous did.
Maia
Make sure your calculator is in DEGREE mode
sin(20)(325)= 111.16
sin(20)(325)= 111.16