Material Taken From:
Mathematics
for the international student
Mathematical Studies SL
Mal Coad, Glen Whiffen, John Owen, Robert Haese,
Sandra Haese and Mark Bruce
Haese and Haese Publications, 2004
Chapter 10 – Section I: Using the Sine and Cosine Rule
1) The angles of elevation to the top of a mountain
are measured from beacons A and B, at sea.
If the beacons are 1473 meters apart, how high is the
mountain?
2) A roadway is horizontal for 524m from A to B,
followed by a 23° incline 786m long from B to C.
How far is it directly from A to C?
3) David’s garden plot is in the shape of quadrilateral ABCD.
A fence runs around the entire boundary of the plot.
How long is the fence?
B
102°
12 m
A
77.9°
42°
60.1°
D
3m
C
Bearings
Bearings
4) For the diagram find:
a) the bearing of B from A
b) the bearing of C from B
c) the bearing of A from C
5) Gus walks for 12.2 km in the direction 123° from camp S
and then for 8.9 km in the direction 226° to camp F.
a) find the distance
b) find the bearing of F from S
Homework
• Exercise 10I.1, pg 344
– #1, 2, 4
• Exercise 10I.2, pg347
– #3, 5, 8, 9