Apainter leans a 15 ft ladder against a building. the base of the ladder is 6 ft from the building. to the nearest foot, how high on the building does the ladder reach

The height of the building does the ladder reach is 13.75 ft.

Step-by-step explanation:

Given : A painter leans a 15 ft ladder against a building. The base of the ladder is 6 ft from the building.

To find : How high on the building does the ladder reach?

Solution :

Let us take AC=Length of a ladder  =15 ft

BC = Distance between ladder base and wall of a building = 6 ft

AB = Height of the building does the ladder reach =h

Triangle formed is angle ABC which is right angle triangle.  

Applying the Pythagoras theorem,

Therefore, The height of the building does the ladder reach is 13.75 ft.

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step-by-step explanation: