A, B and C are three points on horizontal ground.
The bearing of A from B is 040°.

  1. (a)

    Find the bearing of B from A.

    Answer ...

  2. (b)

    Find the bearing of C from A.

    Answer ...

Work through it with AI →

It won't just hand you the answer — it asks where you're stuck.How the checker works

Worked solution

22(a)

1. Find the reverse bearing by adding $180^\circ$.

Bearing of A from B =040∘= 040^\circ.

So bearing of B from A
=040∘+180∘=220∘.= 040^\circ + 180^\circ = 220^\circ.

Answer

220∘220^\circ

22(b)

1. Use the bearing of B from A from part (a).

From part (a), the bearing of B from A is
220∘.220^\circ.

2. Use the angle at A to find the bearing of C from A.

At A, the angle between ABAB and ACAC is 65∘65^\circ.

From the diagram, ACAC is to the left of the direction ABAB when measured as a bearing, so
bearing of C from A=220∘−65∘=155∘.\text{bearing of C from A}=220^\circ-65^\circ=155^\circ.

Answer

155∘155^\circ

AI analysis — may contain mistakes.

Worked this one out on paper? Snap your steps and Gigle's AI math checker will circle the step where it went wrong.

More questions on this topic

  1. 1The diagram shows the positions of a harbour, H, a lighthouse, L, and two buoys P and Q. HPQ is a straight line. The bea…
  2. 2In the diagram, PQRS is a vertical rectangular wall of height 2.5 m and length 7.5 m. T is a point on level ground from…
  3. 3The diagram shows four points P, Q, R and S which lie on level ground in a garden. P is due south of Q. The bearing of S…
  4. 4In the diagram, ABCDEFGH is a cuboid with dimensions 8 cm by 6 cm by 15 cm. V is the centre of the rectangular base. Sho…
  5. 5The figure above shows a solid. The cross-section of the solid is a sector of a circle of radius 5 cm and angle 30°. The…