A hot air balloon is rising vertically 4m/s while the wind is blowing horizontally at 3m/s. Find the speed v of the balloon and the angle Θ it makes with the horizontal.

Question

The balloons speed is _____________  m/s, and it is rising at an angle of ___________ degrees to the horizontal. 

Answer 1

the speed of the baloon is 5 m/s

angle with the horizontal = tan^-1(4/3) = about 53.13

the vertical, horizontal distances form a right triangle with hypotenuse = 5