A Telephone Line Hangs Between Two Poles at 12 M $y=30 \cosh \left(\frac{x}{30}\right)-35$

question 75

Multiple Choice

A telephone line hangs between two poles at 12 m apart in the shape of the catenary $y=30 \cosh \left(\frac{x}{30}\right) -35$ , where x and y are measured in meters. Find the slope of this curve where it meets the right pole.

• A) \(\frac{\sinh 5}{6}\)
• B) \(\sinh \left(\frac{5}{6}\right)\)
• C) \(\sinh \left(\frac{1}{6}\right)\)
• D) \(\sinh 6\)
• E) \(\sinh \left(\frac{1}{5}\right)\)

---

Definitions:

Variable Selling

Refers to costs that vary directly with changes in the volume of sales. These can include commissions, shipping fees, and packaging costs.

Administrative Expenses

Administrative expenses are the costs related to the general operation of a business, including items like office supplies, salaries of administrative personnel, and other non-production costs.

Fixed Expenses

Costs that do not fluctuate with the volume of production or sales, such as rent, salaries, and insurance premiums.

Cost-Plus Methods

Methods of price setting determined by the cost amount per unit plus a markup based on the desired profit per unit.