19
QuizMultiple Choice

Home Ownership — Test

Question 19 • Financial Math

Ramp 2 is 30 feet long and needs to be shortened to 18 feet while maintaining the same height at 12 feet. Adjusting the ramp costs $⁢60 per degree of change. What is the total cost to make this change?

Answer
A
1093 point 9 3 dollars
B
456 point 6 7 dollars
C
1 dollars comma 285 point 0 0
D
428 point 3 3 dollars

Explanation

Use the ramp’s length as the hypotenuse of a right triangle. The original angle is sin⁻¹(12/30) ≈ 23.58°, and the shortened ramp’s angle is sin⁻¹(12/18) ≈ 41.81°. The change is about 18.23°, so the cost is 18.23 × $60 ≈ $1,093.93. The correct choice is C, $1,093.93.

AI-written and checked against the verified answer.

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