Solve Each Applied Problem $432 \mathrm{lb}$ And $325 \mathrm{lb}$ That Form an Angle Of

Short Answer

Solve each applied problem.
(a) Find the magnitude of the resultant of forces of $432 \mathrm{lb}$ and $325 \mathrm{lb}$ that form an angle of $57.2^{\circ}$ .
(b) Two boats leave a dock together, traveling on straight courses that have an angle of $132.1^{\circ}$ between them. One boat travels $37.6 \mathrm{~km} / \mathrm{hr}$ and the other travels $29.1 \mathrm{~km} / \mathrm{hr}$ . How far apart are they after 3 hours?
(c) Find the horizontal and vertical components of a vector with magnitude 105 that is inclined $130^{\circ} 10^{\prime}$ from the horizontal. Give your answer in the form $|a, b|$ .
(d) Points $A$ and $B$ are on opposite sides of Bear Lake. From a third point, $C$ , the angle between lines of sight to $A$ and $B$ is $46.4^{\circ}$ . If $A C$ is $16 \mathrm{~km}$ long and $B C$ is $3 \mathrm{~km}$ long, find $A B$ .