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**Question**

13) In the diagram, ABC is a right-angled triangle.

P is a point on AB.

BC = 40m, AP = 20m and angle ABC = 30°.

P is a point on AB.

BC = 40m, AP = 20m and angle ABC = 30°.

a) Show that AC = 20m.

**[3 marks]**

b) Find the length of PB.

Give your answer in the form

where

*a*and*b*are integers.**[5 marks]**