SOLUTION: A ladder leaning against a house makes an angle of 60 degrees with the ground. The foot of the ladder is 7 feet from the house. How long is the ladder?

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Question 1132720: A ladder leaning against a house makes an angle of 60 degrees with the ground. The foot of the ladder is 7 feet from the house. How long is the ladder?
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) (Show Source):
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A right triangle with the ladder the hypotenuse and the adjacent side 7 and the angle 60 degrees. Use cosine
cos 60=7/hyp
0.5=7/hyp
hypotenuse is 14 feet, the length of the ladder.

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!
A ladder leaning against a house makes an angle of 60 degrees with the ground. The foot of the ladder is 7 feet from the house. How long is the ladder?

The length of the hypotenuse of a 30-60-90 special triangle is TWICE the length of the SHORTER leg, and
since the shorter leg (7 feet) is opposite the SMALLER angle (30^o), the hypotenuse becomes: 2(7), or