Question

You are photographing a race at a track meet, sitting 50 feet from the center of a straightaway. A runner traveling at 20 feet per second passes in front of you. a) write a trigonometric equation to find the angle thete you have to turn your camera to photograph the runner t seconds later. assume the runner is still on the straightaway and traveling at a constant speed. b) sole the trigonometric question to find the angle theta you have to turn the camera to photograph the runner 3 seconds later. c) if time t is twice as long, is the measure of the angle you have to turn the camera twice as big?

Answer 1

draw a diagram. It is clear that

(a) tanθ = 20t/50

(b) solve when t=3

Since tan2θ≠2tanθ, (c) is clearly false.