Answer to Question #96347 in Physics for ena

Question

What is the magnitude of your displacement when you follow directions that tell you to walk 250 m in one direction, make a 90° turn to the left and walk 330 m, then make a 30° turn to the right and walk 125 m?

Answer 1

$$\bold{d_1}=(250,0)m$$

$$\bold{d_2}=(0,330)m$$

$$\bold{d_3}=(125\sin{30},125\cos{30})m$$

$$\bold{d=d_1+d_2+d_3}=(250+125\sin{30},330+125\cos{30})m$$

$$\bold{d}=(312.5,438.3)m$$

$$d=\sqrt{312.5^2+438.3^2}=538\ m$$