The base of the roof is 20 feet, and the height of the wall is 10 feet. The angle θ between the roof and the base needs to be adjusted, and the cost to adjust the angle is $50 per degree. What is the total cost of changing the angle?
Answer
A
1 dollars comma 328 point 2 5
B
1 dollars comma 718 point 8 5
C
1 dollars comma 500 point 0 0
D
3 dollars comma 000 point 0 0
Explanation
The wall height and roof base form the opposite and adjacent sides of a right triangle, so tan θ = 10/20 = 0.5. Thus θ ≈ 26.565°, and at $50 per degree, the cost is 26.565 × $50 ≈ $1,328.25. The correct choice is $1,328.25.
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