Answer:
460.67 feet
Step-by-step explanation:
Please see attached image.
Here, we see that a right triangle is formed. The distance jumpers need to jump to go to hot air balloon is labeled as x
With respect to the angle given, we have the adjacent side (180) and we need the hypotenuse (x). Which trig ratio relates ADJACENT to HYPOTENUSE?
It is Cosine. So lets use cosine and solve for x:
[tex]Cos(67)=\frac{180}{x}\\x=\frac{180}{Cos(67)}\\x=460.67[/tex]
So they would need to jump around 460.67 feet
