Question

A hot air balloon rises straight up 500 feet, then catches a breeze and is blown west 1,000 feet. How far is the balloon from the point of liftoff?

Answer 1

Would it still be one thousand feet?
Because the 500 shouldn't matter
If it does then it's 1500

Answer 2

Answer:

Distance between balloon and point of liftoff is 1118 feet.

Step-by-step explanation:

A hot air balloon rises straight up 500 feet. It catches a breeze and is blown west 1000 feet.

Since this phenomenon is three dimensional but I have drawn it in 2 dimensions.

So distance between balloon and the liftoff point will be

x² = 1000² + 500²

$x^{2}=10^{6}+0.25(10)^{6}$

             = $1.25(10)^{6}$

x = $\sqrt{1.25(10)^{6} }$

  = 1.118×1000

  = 1118 feet

Therefore, distance between balloon from the point of liftoff is 1118 feet