3
QuizMultiple Choice

Trigonometry in Financial Literacy — Quiz

Question 3 • Financial Math

A ramp is installed with a base of 10 feet and a height of 6 feet. The angle θ between the ramp base and the ramp length needs to be adjusted. If the cost to adjust the angle is $⁢100 per degree, what is the total cost to adjust the angle? Round the angle to the nearest whole number.

Answer
A
3 dollars comma 100
B
6 dollars comma 000
C
1 dollars comma 000
D
1 dollars comma 600

Explanation

The base and height form a right triangle, so tan(θ) = 6/10 = 0.6. Thus θ = arctan(0.6) ≈ 30.96°, which rounds to 31°. At $100 per degree, the adjustment costs 31 × $100 = $3,100, choice B.

AI-written and checked against the verified answer.

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