Please Help!!!!!!
posted by Ashley .
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 of (10)^2 + (5)^2, but I was wondering if someone could tell me why the speed is equal to that. Thanks.

Please Help!!!!!! 
Steve
Every second the balloon rises 10 ft and moves sideways 5 feet.
So, the distance traveled in one second is sqrt(10^2 + 5^2)
Since it traveled that distance in one second, and speed is distance/time, the same triangle can be used to calculate the speed.
Respond to this Question
Similar Questions

Hotair balloon
A hotair 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 … 
Math, Please Help!!!
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 … 
Math, Please Help!!!
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 … 
Please Help!!!!!!
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 … 
calculus
A hotair 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 … 
Calc
2) A hot air balloon rising vertically is being tracked by an observer on the ground, located 60 meters from the takeoff point. At a certain instant, the balloon is 30 meters above the ground and the angle of elevation (between the … 
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 … 
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 … 
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 … 
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, …