Write down the y-intercept of the line AB.

Calculate the gradient of the line AB.

The acute angle between the line AB and the x-axis is θ.

Show θ on the diagram.

The acute angle between the line AB and the x-axis is θ.

Calculate the size of θ.

6

OR

(0, 6)     (A1)     (C1)

[1 mark]

\(\frac{{(2 - 5)}}{{(8 - 2)}}\)     (M1)

Note: Award (M1) for substitution in gradient formula.

\( =  - \frac{1}{2}\)    (A1)     (C2)

[2 marks]

Angle clearly identified.     (A1)     (C1)

[1 mark]

\(\tan \theta  = \frac{1}{2}\) (or equivalent fraction)     (M1)

\(\theta = 26.6^\circ\)     (A1)(ft)     (C2)

Note: (ft) from (b).

Accept alternative correct trigonometrical methods.

[2 marks]

This was generally well answered.

This was generally well answered, the errors coming from incorrect substitution into the gradient formula rather than using the two intercepts.

There was often a lack of accuracy in the answers. Also, the use of the sine rule overly complicated matters for many.