SOLUTION: An A-frame lake house is 21 feet wide. If the roof of the home makes a angle with the base of the home, what is the length of the house from ground level to the peak of the roo

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: An A-frame lake house is 21 feet wide. If the roof of the home makes a angle with the base of the home, what is the length of the house from ground level to the peak of the roo      Log On

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Question 158593: An A-frame lake house is 21 feet wide. If the roof of the home makes a angle with the base of the home, what is the length of the house from ground level to the peak of the roof?
Larson, R., Hostetler, R. P., & Edwards, B. H. (2005). Trigonometry a graphing approach (4th ed.). Boston: Houghton Mifflin.
I would really appreciate your help!

Answer by vleith(2517) About Me  (Show Source):
You can put this solution on YOUR website!
You are missing one important piece on info. You do not say what the angle at the base is.
In order to find the height, use the angle at the base and half the width of the house. Then use tangent to calculate the height as follows:
tangent%28angle%29+=+opposite%2Fadjacent
tangent%28angle%29+=+height%2F%2821%2F2%29+
tangent%28angle%29+%2A+11.5+=+height