Question

In a consideration a ladder of length 10m is inclined to a wall. The distance between foot of
ladder and wall is 6m. Find the height of wall upto which ladder is inclined.
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Answer 1

Answer:

The height of wall up to which the ladder is inclined is 8m.

Explanation:

Let us assume that,

Length of the ladder = 10m = h

Distance between foot of the ladder and wall = 6m = b

Height of the wall up to which the ladder is inclined = p

According to Pythagorean theorem,

h² = p² + b²

Substituting given values of h and b, we get

10² = p² + 6²

=> 100 = p² + 36

=> 100 - 36 = p²

=> p² = 64

=> p = √64

=> p = 8

Therefore, the height of wall up to which the ladder is inclined is 8m.