4MA0 Higher January 2013 Paper 3 Q11

EdexcelHigherOld spec4 marksPythagoras

11 A washing line is attached at points \(A\) and \(B\) on two vertical posts standing on horizontal ground.
Point \(A\) is 2.1 metres above the ground on one post.
Point \(B\) is 1.7 metres above the ground on the other post.
The horizontal distance between the two posts is 6 metres.

Two vertical posts 6 m apart with a washing line from A, 2.1 m high, to B, 1.7 m high

Diagram NOT accurately drawn

Calculate the distance \(AB\).
Give your answer correct to 3 significant figures.

(4)

Mark scheme

Scheme	Marks
2.1 − 1.7 (= 0.4)	M1
\(6^2 + \text{“}0.4\text{”}^2\) (= 36.16)	M1
\(\sqrt{\text{“}36.16\text{”}}\)	M1
6.01	A1
	(4)

Notes

M1: dep

A1: awrt 6.01
N.B. Accept working in cms throughout for method marks