A flagpole is 20 feet tall, and the cable forms an angle of 45° with the ground. The cable supports the flagpole, costing $⁢10 per foot. What is the total cost to purchase the cable?

The 20-foot flagpole is opposite the cable’s 45° angle with the ground, and the cable is the hypotenuse of a right triangle. Its length is 20 ÷ sin(45°) ≈ 28.284 feet. At $10 per foot, the cable costs about 28.284 × $10 = $282.84, which is choice B.

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