Solve Each Applied Problem $151 \mathrm{lb}$ And $212 \mathrm{lb}$ That Form an Angle Of

Short Answer

Solve each applied problem.
(a) Find the magnitude of the resultant of forces of $151 \mathrm{lb}$ and $212 \mathrm{lb}$ that form an angle of $38.6^{\circ}$ .
(b) A regulation softball field is a square and the distance between the bases is $60 \mathrm{ft}$ . The pitcher's mound is $46 \mathrm{ft}$ from home plate. How far is the pitcher's mound from second base?
(c) Find the horizontal and vertical components of a vector with magnitude 263 that is inclined $103^{\circ} 30^{\prime}$ from the horizontal. Give your answer in the form $|a, b|$ .
(d) Two ships leave a harbor together, traveling on courses that have an angle of $122.5^{\circ}$ between them. If they each travel 527 miles, how far apart are they?