Question

Jack and Jill stand in the same spot, but face different directions: Jack faces east. Jill faces north-east. The degree between Jack and Jill is 30° Jack starts walking east at a speed of 5mph. At the same time, Jill starts walking NE at a speed of 6 mph. After TWO hours, find the rate that the distance between Jack and Jill is changing. (Round your answer to 1 decimal place.) (Hint:Use the Law of Cosines: c2 =a2 +b2 −2ab⋅cosγ .You cannot use soh cah toa.)

Answer 1

We know the law of cosines is given by,

plugin the angle,

diff wrt t,

divide by 2,

plugin the values,

Now find a. b. c values,

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