posted by .

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.

• physics? -

If you want expert help, you should type your School Subject in the appropriate box.

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

Similar Questions

1. Hot-air balloon

A hot-air balloon is 180 ft above the ground when a motorcycle passes directly beneath it (travelling in a straight line on a horizontal road) going at a constant speed of 60 ft/s. If the balloon is rising vertically at a rate of 15 …

a hot air balloon is rising vertically 10 ft/sec while the wind is blowing horizontally 5ft/sec. Find the speed of the balloon and the angle x that it makes with the horizontal. I know that the speed of the balloon is the square root …

a hot air balloon is rising vertically 10 ft/sec while the wind is blowing horizontally 5ft/sec. Find the speed of the balloon and the angle x that it makes with the horizontal. I know that the speed of the balloon is the square root …

a hot air balloon is rising vertically 10 ft/sec while the wind is blowing horizontally 5ft/sec. Find the speed of the balloon and the angle x that it makes with the horizontal. I know that the speed of the balloon is the square root …
5. calculus

A hot-air balloon is 150 feet above the ground when a motorcycle passes directly beneath it (traveling in a straight line on a horizontal road). The motorcycle is traveling at 40 mph. If the balloon is rising vertically at a rate of …
6. Calc

2) A hot air balloon rising vertically is being tracked by an observer on the ground, located 60 meters from the take-off point. At a certain instant, the balloon is 30 meters above the ground and the angle of elevation (between the …
7. Calculus

A balloon is rising at a constant speed of 5 ft/sec. A boy is cycling along a straight road at a constant speed of 15 ft/sec. When he passes under the balloon, it is 5 feet above him. Determine how fast the distance between the boy …
8. Calculus

A hot air balloon is 150 ft above the ground when a motorcycle passes beneath it (traveling in a striaght line on a horizontal road) going 58 ft/sec. If the balloon is rising vertically at a rate of 10 ft/sec, what is the rate of change …
9. calc(steps and explanation also)

A hot air balloon is 150 ft above the ground when a motorcycle passes beneath it (traveling in a striaght line on a horizontal road) going 58 ft/sec. If the balloon is rising vertically at a rate of 10 ft/sec, what is the rate of change …
10. calculus

A hot air balloon is rising vertically upward from the ground. The crew of a boat from a nearby lake notices this situation and looks upward at an angle of 10 degree to see the balloon. If the boat is 400meters away from the balloon, …

More Similar Questions