granthardy24 granthardy24

29-07-2016
Mathematics

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In an A-frame house, the two congruent sides extend from the ground to form a 34° angle at the peak. What angle does each side form with the ground?

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nobillionaireNobley nobillionaireNobley

30-07-2016

The house frame forms an isosceles triangle with the two base angles equal.
Sum of angles in a triangle = 180 degrees.
Let one of the base angles be x, then 2x + 34 = 180
2x = 180 - 34 = 146
x = 146/2 = 73 degrees

Therefore, the angle formed by each side with the ground is 73 degrees.

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