A14 foot ladder is leaning against a building. the ladder makes a 45 degree angle with the building. how far up the building does the ladder reach?

Step-by-step explanation:

It is given that A 14 foot ladder is leaning against a building. The ladder makes a 45 degree angle with the building, then let AC=14 foot and ∠C=45°and AB be the length of the building.

Thus, using the trigonometry, we have

Substituting the given values, we get

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Thus, the length of the building will be .