- #1
Loppyfoot
- 194
- 0
Homework Statement
A bungee jumper has reached a point in her exciting plunge where the taut cord is 100 feet long with a 1/2 inch radius and stretching. She is still 80 feet above the ground and is now falling at 40 feet per second. You are observing her jump from a spot on the ground 60 feet from the potential point of impact.
- From your observation point, at what rate is the angle of elevation to the jumper changing?
So, without a diagram, x=60, y= 80 and you have to solve for dΘ/dt. So the hypotenuse value would be 100 at this moment.
My Question: I understand mostly the implicit differentiation, but Why when I solve for dΘ/dt, i need to use the 100 feet for hypotenuse? Isn't the hypotenuse changing?
The Attempt at a Solution
My equation for this question is sinΘ=y/100 . But why do I use 100 if it is changing?