Monday

March 30, 2015

March 30, 2015

Posted by **BOB** on Thursday, November 10, 2011 at 8:42pm.

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.

- Math, Please Help!!! -
**Reiny**, Thursday, November 10, 2011 at 9:45pmfrom the origin draw a vertical line of length 10

from the origin draw a horizontal line of length 5

Complete the rectangle, and draw in the diagonal.

That diagonal is the resultant velocity.

You now have a right-angled triangle with base of 5 and height of 10

let the hypotenuse be h

h^2 = 10^2+5^2 = 125

h = √125 = 5√5 = appr. 11.18

to find the angle

sinx = 10/11.18

x = 63.4°

we could have done : tanx = 10/5 = 2

x = 63.4°

- Math, Please Help!!! -
**Steve**, Friday, November 11, 2011 at 10:30amYou can draw a triangle for velocity, even though usually you do it for distances, because the distance is velocity * time. The time elapsed is just a scale factor, so the velocity triangle is just the distance triangle, scaled by how much time has elapsed.

**Answer this Question**

**Related Questions**

Math, Please Help!!! - a hot air balloon is rising vertically 10 ft/sec while ...

Please Help!!!!!! - a hot air balloon is rising vertically 10 ft/sec while the ...

Please Help!!!!!! - A hot hair balloon is rising vertically 20 ft/sec while the ...

Calc - 2) A hot air balloon rising vertically is being tracked by an observer on...

Hot-air balloon - A hot-air balloon is 180 ft above the ground when a motorcycle...

calculus - A hot-air balloon is 150 feet above the ground when a motorcycle ...

Math - Charlie is late for the hot-air balloon rally. He stops his car 65 meters...

Physics - A hot-air balloon is accelerating upward under the influence of two ...

Physics - A hot-air balloon is accelerating upward under the influence of two ...

Math - A hot air balloon is rising vertically. From a point on level ground 125 ...