# Thread: Trignometry help with compass directions.

1. ## Trignometry help with compass directions.

A pilgrim travelling along a road, which at this point runs due North and is straight, observes a sign by the wayside warning travellers to the North that the den of Ali Baa Baa and his 40 thieves is located at a bearing of 49o T at a distance of 8km.

Ali's gang uses a herd of camels in their forays to plunder luckless travellers and these camels have a maximum endurance of 14km. Ali must always return to his den.

a) Determine how much further the pilgrim can travel before he is in range of Ali's gang. State any assumptions you may have made.

b) How far he must then travel before he is out of range again.

2. ## Re: Trignometry help with compass directions.

Originally Posted by AshleeG96
A pilgrim travelling along a road, which at this point runs due North and is straight, observes a sign by the wayside warning travellers to the North that the den of Ali Baa Baa and his 40 thieves is located at a bearing of 49o T at a distance of 8km.

Ali's gang uses a herd of camels in their forays to plunder luckless travellers and these camels have a maximum endurance of 14km. Ali must always return to his den.

a) Determine how much further the pilgrim can travel before he is in range of Ali's gang. State any assumptions you may have made.

b) How far he must then travel before he is out of range again.

Not showing working, that's your job.

Start by drawing a straight vertical line segment (the pilgrim's path) of arbitrary length. Then at the end point, draw another line segment that is 8 units long and that makes an angle of 48 degrees east from the north (so an angle of 132 degrees from the south). This ends at Ali Baa Baa's cave.

Draw a circle centred at the cave of radius 14 units. This is how far Ali Baa Baa can travel.

Obviously this circle will pass through the pilgrim's path. If you join this point to Ali Baa Baa's cave, you will have a triangle (and obviously that length will be 14 units). You would know two of the side lengths and one of the angles, you should be able to solve the triangle and find how far along his path the pilgrim must travel.

3. ## Re: Trignometry help with compass directions.

Here's a diagram of the situation