Use inverse functions find the angle of elevation of a camera.
A camera is to take a series of photographs of a hot air balloon rising vertically. The distance between the camera at (B) and the launching point of the balloon (A) is 300 meters. The camera must keep the balloon on sight and therefore its angle of elevation t must change with the height x of the balloon.
a) Find angle t as a function of the height x.
b) Find angle t in degrees when x is equal to 150, 300 and 600 meters. (approximate your answer to 1 decimal place).
c) Graph t as a function of x.