- #1
chompysj
- 19
- 0
Homework Statement
Homework Equations
a^2 + b^2 = c^2
A= (1/2)bh
The Attempt at a Solution
1)I labeled the distance traveled on the ocean as y and the distance traveled on land as x.
2)This one's kinda hard to describe: you know how the 100 yd distance and the shoreline form a triangle? I labeled the bottom of that triangle as w.
3) Pythagorean theorem:
100^2 + w^2 = y^2
(300-w)^2 + 65^2 = x^2
Area of triangle:
(300)(65) - (1/2)(300-w)(65) = 65w + (1/2)(65)(300-w)
Also, the derivatives:
dy/dt = 70 yd/min
dx/dt = 120 yd/min
This is kind of where I'm stuck. Am I on the right track with the whole w thing? Or am I headed in a completely wrong direction? Please help!