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