76. On a training flight, a student pilot flies from Lincoln, Nebraska to Clarinda, lowa, then to St. Joseph, Missouri, and then to Manhattan, Kansas (Fig. 1.41) . The directions are shown relative to north: $0^{\circ}$ is north, $90^{\circ}$ is east, $180^{\circ}$ is south, and $270^{\circ}$ is west.

76. On a training flight, a student pilot flies from Lincoln, Nebraska to Clarinda, lowa, then to St. Joseph, Missouri, and then to Manhattan, Kansas (Fig. 1.41) . The directions are shown relative to north: $0^{\circ}$ is north, $90^{\circ}$ is east, $180^{\circ}$ is south, and $270^{\circ}$ is west. Use the method of components to find (a) the distance she has to fly from Manhattan to get back to Lin-coln, and (b) the direction (relative to north) she must fly to get there. Mlustrate your solutions with a vector diagram.