Question

What will be the distance of the foot of ladder from the building, if the ladder of 12 m high reaches the top of a building 35 m high from the ground?

(a) 32.65 m

(b) 32.87 m

(c) 31.87 m

(d) 32.85 m

The question was asked in semester exam.

This interesting question is from Pythagoras Theorem topic in division Triangles of Mathematics – Class 10

Answer 1

The correct option is (b) 32.87 m

Easy explanation: Here, AB is the building and AC is the ladder.

Now, the BC can be found out by Pythagoras Theorem.

AC^2 = AB^2 + BC^2

35^2 = 12^2 + BC^2

1225 = 144 + BC^2

BC^2 = 1225 – 144 = 1081

BC = √1081 = 32.87 m

The distance between the foot of the ladder and the building is 32.87 m.