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The foot of a ladder is 6m from the base of an electric pole...
waec-2019 ssce-exam-2019 waec-mathematics-2019 math
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The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rest against the pole at a point 8m above the ground. How long is the ladder

A. 14m

B. 12m

C. 10m

D. 7m

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peter
Asked by peterrep:1.9K
University of Lagos Nigeria
22 April 2020

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judziy
Judziy answeredrep:2.1K
University of Benin Nigeria
20 July 2020
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The diagram above is a right angle triangle, therefore pythagoras theorem can be used to find the length, L of the ladder

From pythagoras theorem, hyp2 = opp2 + adj2

hyp, stands for hypotenus = L

opp, stands for opposite = 8

adj, stands for adjacent = 6

Length of the ladder, L = √82 + 62

= √100

= 10m

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