NCERT Solution Class X Mathematics Triangles Question 9 (Ex 6.5)

Question 9:

A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladderfrom base of the wall.

Answer:

Let OA be the wall and AB be the ladder.

Therefore, by Pythagoras theorem,

AB2 = OA2 + BO2

(10 m)2 = (8 m)2 + OB2

100 m2 = 64 m2 + OB2

OB2 = 36 m2

OB = 6 m

Therefore, the distance of the foot of the ladder from the base of the wall is 6 m.

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