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05-09-2015
Mathematics

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A 25 foot ladder is leaning against a house. It makes a 75 degree angle with the ground. How far is the base of the ladder from the house

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05-09-2015

Look at the picture.

[tex]\cos 75^\circ =\frac{x}{25} \\ 25 \cos 75^\circ = x \\ 25 \times 0.2588 \approx x \\ x \approx 6.47[/tex]

The base of the ladder is 6.47 feet from the house.

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