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## Homework Statement

Car A is located 43km away, 17 degrees north of west. Car B is 34km away, 38 degrees east of north. The person in car A checks the position of car B by using a GPS. What does it give for car B's

a) distance from car 1

b) direction, measured due east?

## Homework Equations

Pythagorean Theorem

Using sin, cos, tan

## The Attempt at a Solution

Ax = (cos17)(43) = 41.12km

Ay = (sin17)(43) = 12.57km

Bx = (cos38)(43) = 26.79

By = (sin38)(34) = 20.93km

Cy = By - Ay

Cy = 20.93km - 12.57km

Cy = 8.36km

Cx = Bx + Ax

Cx = 26.79 + 41.12km

Cx = 67.91km

Vector C = sqrt[(Cy^2 + Cx^2)]

Vector C = sqrt[(8.36^2 + 67.91^2)]

a) Vector C = 68.42km

Angle = tan(Cx/Cy)

Angle = 67.91/8.36

b) Angle = 82.48 degrees