Two Tugboats Are Towing a Large Ship into Port, as Shown

question 6

Multiple Choice

Two tugboats are towing a large ship into port, as shown in the figure. The larger tug exerts a force of 4,500 pounds on its cable, and the smaller tug exerts a force of 3,300 pounds on its cable. If the ship is to travel on a straight line l, approximate the angle that the larger tug must make with l.

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Definitions:

Initial Endowment

The initial allocation of assets, income, or resources that an individual, institution, or country possesses.

Min

The smallest or least possible amount, quantity, value, or degree.

Pareto Optimal Allocation

A distribution of resources in which it is impossible to make any individual better off without making at least one individual worse off.

Endowed

Provided with a large amount of a resource or quality, often referring to financial grants given to institutions or individuals.