Mathematics

Question

Two opposing sides of a steep roof on an A-frame cabin form a 32 degree angle at the top. The cabin is an isosceles triangle. If both sides of the roof continue all the way to the ground, what angle will each side of the roof meet the ground at outside the cabin?

A. 53 degrees
B. 74 degrees
C. 106 degrees
D. 122 degrees

1 Answer

  • The cabin is an isosceles triangle.
    So the other two interior angles are:
    α = ( 180° - 32° ): 2 = 148° : 2 = 74°
    Angle that each side of the roof meet the ground at outside the cabin is an exterior angle:
    180° - 74° = 106°
    Answer: C ) 106 degrees 
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