What Is The Length Of The House From Ground Level To The Peak Of The Roof?
An A-frame lake house is 21 feet wide. If the roof of the home makes a 45 degree angle with the base of the home
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If you are talking about a triangular house, the 45 degree angle between the roof and the floor indicates that you are dealing with an isosceles triangle. Use trigonometric formulae (sin theta=perpendicular/hypotenuse, cos theta=base/hypotenuse, tan theta=perpendicular/base) to find the height of the house. First cut the house in two halves so that you get two triangles such as each triangle consists of one side of the roof, half of the floor and the height of the house. Using the tan formula for any one of the halves, 10.5 tan 45 = height = 10.5 feet.
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