If you head at a compass heading of 15 $\circ$ for 25 m,then go on a heading of 280 $\circ$ for 18 m,how far are you from your starting point?

Question

Quizplus · Accepted Answer

To solve this, we can use vector addition or trigonometry to find the resultant displacement from the starting point. The first heading of 15 degrees is almost due north with a slight eastward component, and the second heading of 280 degrees is almost due west. By breaking these movements into north-south and east-west components and then applying the Pythagorean theorem, we find the total displacement to be approximately 29 meters from the starting point.

If You Head at a Compass Heading of 15 ∘\circ∘ for 25 M,then Go on a Heading of 280

If You Head at a Compass Heading of 15^$\circ$ for 25 M,then Go on a Heading of 280