Anonymous
Anonymous asked in Science & MathematicsPhysics · 2 months ago

# Magnitude and velocity solving (physics)?

Can someone please help? This problem is on my practice study guide for my physics exam, but I don't fully understand the material. Can someone please solve it out step by step and explain to me how to do it? Thanks so much!

There is a rock in a forest. A deer is 15m at 56.68595° south of west from the rock. A bear is 20m at 54.41424° north of west from the rock. What is the position of the deer relative to the bear? P.s. The answer is 29m at 83.26708° south of east.

Relevance

I think the best way to do these is to rewrite the angles on a 360° circle:

A deer is 15m at 56.68595° south of west from the rock

= 180°+56.68595° = 15m at 236.68595°.

A bear is 20m at 54.41424° north of west from the rock

= 20 at 180 -54.41424 = 20m at 125.58576°

What is the position of the deer relative to the bear? P.s. The answer is 29m at 83.26708° south of east.

Find the horizontal distance:

15*cos236.68595 -20*cos125.58576 = 3.4

Find the vertical distance:

15*sin236.68595 -20*sin125.58576 = -28.8

3.4²+28.8² = 29²

arctan(-28.8/3.4) = -83.26708°

You must draw a triangle to understand this

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