Question

Lillian and Ray both sight Lily Bay Mountain at$7{\mathbf{0}}^o$west of north, but Lillian sees the lookout tower at$4{\mathbf{0}}^o$east of north, while Ray sees it at${\mathbf{20}}^o$east of north. Which person is closer to Bluff Mountain?

Short answer

R is closer to the Bluff Mountain.

Step-by-step solution

Step 1. Define magnetic north

Magnetic north is the direction towards the north magnetic pole, it is point where the Earth's magnetic field goes vertically down.

Step 2. Draw the diagram

If we make a diagram for the given situation then we get:

Draw a line down Lily Mountain that is parallel to magnetic north.

Step 3. State the conclusion

Clearly, from the diagram, if we compare the positions of L and R, we observe that R is closer to the Bluff Mountain.

It is clear that they are north of your location.