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Grade 7

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subject-cta

Question 12

Q12) A ladder, 6.5 m long, rests against a vertical wall. If the foot of the ladder is 2.5 m from the foot of the wall, find up to how much height does the ladder reach?

Solution:

Length of ladder = 6.5 m

Length of the foot of the wall = 2.5 m

To find: Height AC According to Pythagoras Theorem,

BC^2=AB^2+AC^2

6.5^2=2.5^2+AC^2

42.25=6.25+AC^2

AC^2=42.25-6.25=36m

AC=\sqrt{6\times6}=6\ m

∴ Height of wall = 6 m

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