Thursday

September 3, 2015
Posted by **Jaizzer** on Thursday, May 31, 2012 at 3:50am.

orienteering competition. The ﬁrst two

legs of her triangular course are:

• 1.2 km on a true bearing of 200 °

• 2.3 km on a true bearing of 320 ° .

To ﬁnd the shortest way back to the

start/ﬁnish line, Raylene must

calculate the distance and bearing of

the ﬁnal leg.

1 Draw a diagram showing the ﬁrst

two legs of the course.

2 Consider the ﬁrst leg of the course.

Calculate the distance south and the

distance west of the starting point

travelled in the ﬁrst leg.

3 Now, considering only the second

leg of the course, calculate the

distance travelled north and west

during this leg.

4 Calculate how far west of the start

point Raylene is at the end of the second leg.

5 Calculate how far north or south of the start point Raylene is at the end of the

second leg.

6 Use Pythagoras’ theorem to ﬁnd the distance back to the start/ﬁnish line.

7 Find the bearing on which Raylene must run to get back to the start/ﬁnish line.

8 The organisers made an error in calculating the bearing on which to run the

second leg. It was the intention of the organisers that the ﬁnal leg of the course

be due east. Calculate the bearing on which the second leg should have been run

so that the ﬁnal leg is due east.

- Maths (Trigonometry) -
**bobpursley**, Thursday, May 31, 2012 at 7:07amwhat is your question about this assignment?

- Maths (Trigonometry) -
**Jaizzer**, Thursday, May 31, 2012 at 7:24am1 Draw a diagram showing the ﬁrst

two legs of the course.

2 Consider the ﬁrst leg of the course.

Calculate the distance south and the

distance west of the starting point

travelled in the ﬁrst leg.

3 Now, considering only the second

leg of the course, calculate the

distance travelled north and west

during this leg.

4 Calculate how far west of the start

point Raylene is at the end of the second leg.

5 Calculate how far north or south of the start point Raylene is at the end of the

second leg.

6 Use Pythagoras’ theorem to ﬁnd the distance back to the start/ﬁnish line.

7 Find the bearing on which Raylene must run to get back to the start/ﬁnish line.

8 The organisers made an error in calculating the bearing on which to run the

second leg. It was the intention of the organisers that the ﬁnal leg of the course

be due east. Calculate the bearing on which the second leg should have been run

so that the ﬁnal leg is due east.

--- These are the questions. I've done question 1 but it confuses me in question 2. Please help.

- Maths (Trigonometry) -
**bobpursley**, Thursday, May 31, 2012 at 9:58amquestion 2. If you did this on graph paper you have the coordinates of the two points, use the distance formula.