Question

North

NOT TO
SCALE
27 km
82 km
The diagram shows the positions of three towns A, B and C.
Bis 27 lom north of A and the distance between A and C is 82 km.
(a) Calculate BC.
Answer(a) BC
km (2)
(b) Write down the three figure bearing of C from A.
Answer(b)​

Answer 1

1. BC = 86 Km

2. 090°

Explanation:

1. Determination of BC

AB = 27 Km

AC = 82 Km

BC =?

Since the figure is a right angle triangle, we shall determine BC by using pythagoras theory. This is illustrated below:

BC² = AB² + AC²

BC² = 27² + 82²

BC² = 729 + 6724

BC² = 7453

Take the square root of both side

BC = √7453

BC = 86 Km

2. Determination of the bearing of C from A.

From the diagram given above, we can see that angle from A and C is 90°. Thus, the bearing of C from A is 090°