Posted by Ashley on Thursday, November 10, 2011 at 8:08pm.
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, Friday, November 11, 2011 at 12:03am
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.
Answer This Question
Related Questions
 Math, Please Help!!!  a hot air balloon is rising vertically 10 ft/sec while ...
 Math, Please Help!!!  a hot air balloon is rising vertically 10 ft/sec while ...
 Please Help!!!!!!  A hot hair balloon is rising vertically 20 ft/sec while the ...
 Calculus  A hot air balloon is 150 ft above the ground when a motorcycle passes...
 calc(steps and explanation also)  A hot air balloon is 150 ft above the ground ...
 Hotair balloon  A hotair balloon is 180 ft above the ground when a motorcycle...
 Calc  2) A hot air balloon rising vertically is being tracked by an observer on...
 calculus  A hotair balloon is 150 feet above the ground when a motorcycle ...
 calculus  A hot air balloon is rising vertically upward from the ground. The ...
 Calculus  A balloon is rising at a constant speed of 5 ft/sec. A boy is cycling...
More Related Questions