Question

Represent the given velocity 230km/h in the direction 200 degrees.

a. 7cm
b. 5cm
c. 14cm
d. 10cm

Answer 1

Answer on Question #42327, Math, Geometry

The vector $\mathbf{v}$ is shown in the following figure:

We should find coordinates $(vx, vy)$ of its end. By definition

Substituting values we get

$$vx = v \cos \alpha, vy = v \sin \alpha.$$ $$vx = v \cos \alpha = 230 * \cos 200{}^\circ = 230 * (-0.93969) = -216.13 \text{ km/h},$$ $$vy = v \sin \alpha = 230 * \sin 200{}^\circ = 230 * (-0.34202) = -78.665 \text{ km/h}.$$

Answer: (-216.13, -78.665)

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