Trigonometry; Right Triangle

Question

A car drives east for 31 miles and then north for 84 miles.

What is the bearing from the starting point to the car's current position?

Round your angle to one decimal place. Do not enter a degree symbol.

A car drives west for 37 miles and then north for 80 miles.

What is the bearing from the starting point to the car's current position?

Round your angle to one decimal place

Answer 1

use the information to draw a right triangle with an x value of 37 and a y value of 80

tangent of this angle = 80/37

so solve Tan(x) = 80/37

x=65.2 degrees