5
QuizMultiple Choice

Trigonometry in Financial Literacy — Quiz

Question 5 • Financial Math

The ramp has a height of 8 feet and makes an angle of 25° with the ground. The ramp needs to be constructed, and the cost to build it is $⁢50 per foot. What is the total cost to build the ramp?

Answer
A
946 point 4 8 dollars
B
428 point 9 0 dollars
C
441 point 3 5 dollars
D
857 point 8 0 dollars

Explanation

The 8-foot height is opposite the 25° angle, and the ramp is the hypotenuse. Using sine, sin(25°) = 8 ÷ ramp length, so the ramp length is 8 ÷ sin(25°) ≈ 18.93 feet. At $50 per foot, the cost is 18.93 × $50 ≈ $946.48, which is choice C.

AI-written and checked against the verified answer.

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