Chapter 3, Problem 45P

Consider the position of the toes of a person sitting in a chair as shown in Fig P3,43.

(a) Suppose ${\theta }_1=-45°$, ${\theta }_2=30°$, $l_1=20$ in., and $l_2=5$ in. Determine the of the toes $P\left(x,y\right)$.

(b) Now suppose that the leg is positioned such that the tip of the toes is located in the fourth quadrant and oriented in the ankle-up position (counter clockwise direction) as shown Fig. P3.45. It the end of the toes arc located at $P\left(x,y\right)=\left(14.33\text{ in}\text{.},-19.82\text{ in}\text{.}\right)$, determine the values of ${\theta }_1$ and ${\theta }_2$.