Question

A car travels in a direction 45 degrees east of south what is its compass heading?

Answer 1

The compass heading is 135 degrees.

Calculating the bearing of an object using compass.

The compass is a small device that can be use to detect the location of an individual or an object in the four cardinal direction.

So, if the car travels in the direction of 45° degrees east of south, it means that from the south direction to east, the distance covered is 45° degrees.

On the compass bearing, North is 0 degrees, South is 180 degrees, East is 90 degrees, west is 270 degrees.

If the car travels in the direction east of south, then the compass heading is:

= 180 degrees - 45 degrees

= 135 degrees

Answer 2

In a diagram,

And, in general, the initial side of an angle is the x-positive axis; in this case, the line that goes from the center to the east. Therefore,

Let theta be the orange angle; then,

`\begin{gathered} \theta=90\degree+90\degree+90\degree+45\degree=315\degree \\ \Rightarrow\theta=315\degree \end{gathered}`

Thus, the answer is 315°