Question

An 11-ft ladder leans agalnst the side of a house. The bottom of the ladder Is 9 ft from the side of the house. How high Is the IS top of the ladder from the ground?

If necessary, round your answer to the nearest tenth.

Answer 1

The top of the ladder is 6.3 feet high from the ground.

Explanation:

The given question can be expressed by the three sides of a right angled triangle. Let the height of the top of the ladder from the ground be represented by h.

Thus, applying the Pythagoras theorem to determine h, we have;

`/hyp/^(2)` =
`/Adj 1/^(2)` +
`/Adj 2/^(2)`

`11^(2)` =
`h^(2)` +
`9^(2)`

121 =
`h^(2)` + 81

`h^(2)` = 121 - 81

= 40

h =
`√(40)`

= 6.325

h = 6.325 feet

The top of the ladder is 6.3 feet high from the ground.