A12 - ft ladder leans against the side of a house. the bottom of the ladder is 9 ft from the side of the house. how high is the top of the ladder from the ground? if necessary, round your answer to the nearest tenth.

7.9 ft.

Step-by-step explanation:

Given : The length of ladder = 12 ft.

The distance of bottom of the ladder from the side of the house = 9^29 ft.

Since the side of the house must be standing vertical to the ground makinf right angle, then the triangle made by ladder must be a right angle with hypotenuse (Side opposite to right angle) = 12 ft.

Let x be the height of the top of the ladder from the ground.

Using the Pythagoras theorem of right triangles, we have

Hence, the height of the top of the ladder from the ground = 7.9 ft.

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