Solve Each Applied Problem $600 \mathrm{lb}$ And $550 \mathrm{lb}$ That Form an Angle Of

Short Answer

Solve each applied problem.
(a) Find the magnitude of the resultant of forces of $600 \mathrm{lb}$ and $550 \mathrm{lb}$ that form an angle of $48.3^{\circ}$ .
(b) A baseball diamond is a square, $90 \mathrm{ft}$ on a side, with home plate and three bases at the vertices. The pitcher's rubber is located $60.5 \mathrm{ft}$ from home plate. Find the distance from the pitcher's rubber to first base.
(c) Find the horizontal and vertical components of a vector with magnitude 378 that is inclined $141^{\circ} 50^{\prime}$ from the horizontal. Give your answer in the form $|a, b|$
(d) Two speakers are placed in a room so that the angle formed by the cables connecting them to the stereo is $78.3^{\circ}$ . One speaker is 9 feet from the stereo and the other is 4.7 feet from the stereo. How far apart are the speakers?