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jaquaviusleary jaquaviusleary
  • 05-09-2015
  • Mathematics
Answered

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

Verified Answer :

naǫ
naǫ naǫ
  • 05-09-2015

Look at the picture.

\(\cos 75^\circ =\frac{x}{25} \\ 25 \cos 75^\circ = x \\ 25 \times 0.2588 \approx x \\ x \approx 6.47\)

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

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