Related Rates: Triangle Angle and Area

angle θ

π

8

rate of change of area =

0.554328

Adjust θ to illustrate the following related rates problem: Two sides of a triangle are 4 m and 5 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of a fixed length is

π/3

.

Details

Based on a problem in J. Stewart, Calculus: Early Transcendentals, 4th ed., Pacific Grove: Brooks/Cole, 1999 p. 257, #23.

Permanent Citation

Kevin Balch