A ladder of length 6.5m is leaning against a vertical wall. The foot of the ladder is 1.5m from the wall. Calculate the distance the ladder reaches up the wall to 3 significant figures.

(using Pythagoras' theorem) 6.52 = x2+ 1.52 x2= 6.52- 1.52 x2= 42.25 - 2.25 x2 = 40 x = sqrt(40) x = 6.32 (to 3sf) = 6.32m

PB

Related Maths GCSE answers

All answers ▸

How to solve the simultaneous equations: 3x+5y=19 and 4x+6y=22


express 63 as a product of its prime factors


Two points P(–4, –1) and Q(–8, 5) are joined by a straight line. Work out the coordinates of the midpoint of the line PQ.


How to solve the following simultaneous equations? Equation 1: 3x+y=10 Equation 2: 2x-y=5