22
QuizMultiple Choice

Housing Options and Related Expenses — Test

Question 22 • Advanced Financial Algebra

If c=8 meters, θ=30° and it costs $⁢10 per meter to build a fence. What is the total cost to build the side adjacent to the 30° angle of the vegetable garden's fence?

Answer
A
69 point 2 8 dollars
B
29 point 2 8 dollars
C
80 dollars
D
40 dollars

Explanation

The side adjacent to a 30° angle in a right triangle is found with cosine: cos(30°) = adjacent ÷ hypotenuse. With c = 8 meters as the hypotenuse, the adjacent side is 8 × cos(30°) ≈ 6.928 meters. At $10 per meter, the cost is about 6.928 × $10 = $69.28, so the answer is A, $69.28.

AI-written and checked against the verified answer.

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