Question

A hot hair balloon is rising vertically 20 ft/sec while the wind is blowing horizontally at 15 ft/sec. Find the speed v of the balloon and the angle x it makes with the horizontal.

I know how to solve this problem, but I don't understand why or how you know it's a right angle.

Answer 1

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Answer 2

y axis velocity component = 20
x axis component = 15
tan x = 20/15
x = tan^-1 (1.333) = 53.1 degrees