Jet planes

Question:

A high- performance jet plane, practicing radar avoidance maneuvers, is in horizontal flight 45.0 m above the level ground.
Suddenly, the plane encounters terrain that slopes gently upward at 4.90^o, an amount difficult to detect (see the figure). How much time (time in seconds) does the pilot have to make a correction to avoid flying into the ground?
The speed of the plane is 1100 km/h.

Answer:

The angle of the sloping terrain has been very much exaggerated in my diagram to make it easier for you to see.

I assume that you want the time taken for the plane to fly the distance d before it would hit the slope.

Speed of plane = 1100 km/hr = 305.6 m/s.

tan 4.9 = 45/d and so d = 45/tan 4.9 = 45/0.08573 = 524.9 m

Time taken = distance/speed = 524.9/305.6 = 1.72 s