SOLUTION: Pam sees a hot-air balloon at an altitude of 520m with an angle of elevation of 42�24'. Four minutes later, it has drifted in a straight line towards Pam, at the same altitude, so

Question 1112563: Pam sees a hot-air balloon at an altitude of 520m with an angle of elevation of 42�24'. Four minutes later, it has drifted in a straight line towards Pam, at the same altitude, so that it then has an angle of elevation of 67�10'.
a) How far had it drifted?
b)At what speed was the hot-air balloon travelling?

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Pam sees a hot-air balloon at an altitude of 520m with an angle of elevation of 42�24'. Four minutes later, it has drifted in a straight line towards Pam, at the same altitude, so that it then has an angle of elevation of 67�10'.
a) How far had it drifted?
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It's a right triangle. The tangent of the angle = y/x = height/distance.
Find the 2 distances, subract.
==================
b)At what speed was the hot-air balloon travelling?
To find meters/minute, divide the meters by the minutes.

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