Solve each problem. Swimmer in Distress A lifeguard located 20 yd from th...

Solve each problem.

Swimmer in Distress A lifeguard located 20 yd from the water spots a swimmer in distress. The swimmer is 30 yd from shore and 100 yd east of the lifeguard. Suppose the lifeguard runs and then swims to the swimmer in a direct line, as shown in the figure. How far east from his original position will he enter the water? (Hint: Find the value of x in the sketch.)