1. A lifeguard standing at the water’s edge sees a man flailing out in the water. She runs along the shore 20m, then turns 60° and swims another 20 m to reach him. a. How far was the lifeguard from the flailing man originally? (To help make sure that you start with  the correct triangle, think about what it means to turn 0° or 1° and also what it means to turn 180° or 179°. And then think about what this means about the 60° angle in the question—is it an internal  or external angle to the triangle that you need to draw?) b. How far offshore was the man flailing (assuming a straight beach)?

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1. A lifeguard standing at the water’s edge sees a man flailing out in the water. She runs along the shore 20m, then turns 60° and swims another 20 m to reach him.

a. How far was the lifeguard from the flailing man originally? (To help make sure that you start with 
the correct triangle, think about what it means to turn 0° or 1° and also what it means to turn 180°
or 179°. And then think about what this means about the 60° angle in the question—is it an internal 
or external angle to the triangle that you need to draw?)

b. How far offshore was the man flailing (assuming a straight beach)?

2.Solve the triangle: ? = 1, ? = √3, ? = 30°.

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