I'm stuck on this Related Rates problem. Please help and answer with explanation.

Question

An airplane is flying in still air with an airspeed of 350 miles per hour. The plane is climbing at an angle of 29°. Find the rate (in mi/hr) at which the plane is gaining altitude. (Round your answer to four decimal places.)

Answer 1

Draw a right triangle. The airplane is flying along the hypotenuse L. The vertical side of the triangle is h. The given angle is with respect to the horizontal and is opposite h.

sin(29°) = h/L

h = L sin(29°)

Taking the derivative with respect to time:

dh/dt = (dL/dt) * sin(29°)

dL/dt is the given airspeed. Plug in and calculate the answer dh/dt.