No matter what I do, I get a transcendental equation.
Does anyone see an elementary relationship?
Al and Bob are at opposite ends of a diameter of a silo
in the shape of a right circular cylinder with radius 150 ft.
Al is due west of Bob.
Al begins walking along the edge of the silo at 6 ft/sec.
At the same moment that Bob begins to walk due east at the same speed.
The value closest to the time in seconds when Al first can see Bob is __ ?
The answer is 48.Code:P * * o 6t * *o * * o * . * o o * @ * o A o * - - - - o - - - - - - - - o Q * O 150 *B 6t * * * * * * * * *
We have a circle with center and radius 150.
Al starts at .
In the next seconds, he walks feet to
. . Draw radius
Bob starts at
In the same seconds, he walks feet to
is tangent to the circle: .
The circumference of the semicircle is
Since arc length is given by: .
. . we have: .
. . . . . and I'm stuck.