The angles of elevation of a balloon directly above a straight road, from two points of the ground on opposite sides of the balloon, are 78¡ã15' and 59¡ã47'. If the points are 5000ft apart, what is the height of the balloon?

2 answers

draw a diagram.
Review your basic trig functions.
Now it is clear that if the height is h ft,

h cot 78°15' + h cot 59°47' = 500
Try to answer