A Railroad Tunnel Is Shaped Like a Semi-Ellipse $\frac { x ^ { 2 } } { 324 } + \frac { y ^ { 2 } } { 625 } = 1$

question 337

Multiple Choice

A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 25 ft and the vertical clearance must be 20 ft at a point 18 ft from the center. Find an equation for the ellipse.

• A) \(\frac { x ^ { 2 } } { 324 } + \frac { y ^ { 2 } } { 625 } = 1\)
• B) \(\frac { x ^ { 2 } } { 900 } + \frac { y ^ { 2 } } { 625 } = 1\)
• C) \(\frac { x ^ { 2 } } { 900 } + \frac { y ^ { 2 } } { 400 } = 1\)
• D) \(\frac { x ^ { 2 } } { 625 } + \frac { y ^ { 2 } } { 900 } = 1\)

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Definitions:

Accounts Receivable Turnover

A financial ratio indicating how many times a company's accounts receivable are collected during a specific period.

Net Sales

The amount of sales generated by a company after deducting returns, allowances for damaged or missing goods, and any discounts allowed.

Accounts Receivable

The money owed to a company by its customers for goods or services delivered or used but not yet paid for.

Accounts Receivable Turnover

A financial ratio that measures how efficiently a company collects revenue from its credit sales, calculated by dividing net credit sales by the average accounts receivable.