# Minimize Distance

1. Homework Statement
Mike, who i standing on the deck of a yacth that is travelling due west at 6km/h, sees a sailboat sailing southwestat 4km/h, 3km northwest of the yacht. How close to each other do these boats get?

2. Homework Equations

3. The Attempt at a Solution
My drawing is:
| A(2.12-4t,2.12-4t)
| / \
| / \
|/__\B(4.24-6t,0)

Used pythagorean theorem to find t $$D^2=(2.12-4t-0)^2+(2.12-4t-(4.24-6t))^2$$

Correct so far?

Last edited:

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HallsofIvy
$\sqrt{16+ 16}= 4\sqrt{2}$, not 4. You need to multiply by
$\frac{\sqrt{2}}{2}$, just like you did with the initial position.