Question

During a treasure hunt, Cody walks 45.0 m south and 7.50 m to the west. What single straight-line displacement could Cody have taken to reach the treasure? (Remember that magnitude and angle and direction are all needed for your answer.)

Answer 1

Use Pythagorean Theorem to find AC. To find the angle, you use trigonometry. In this case, tan(x)=opp/adjacent, so x=tan^-1(7.5/45)

Answer 2

Where x is the magnitude of the angle

Answer 3

So x is 45.62?

Answer 4

AC is 45.62, but x is \[\tan^{-1} (\frac{ 7.5 }{ 45 })\]