Solve the Problem $10 \sqrt { 77 } \mathrm { ft }$

question 201

Multiple Choice

Solve the problem.
-A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the rope is taut while the balloon is directly above a flag pole that is 20 feet from where the rope is staked down. Find the altitude of the balloon if the rope is 90 feet long. Leave your answer in simplified radical form.

• A) \(10 \sqrt { 77 } \mathrm { ft }\)
• B) \(\sqrt { 770 } \mathrm { ft }\)
• C) \(10 \sqrt { 85 } \mathrm { ft }\)
• D) \(\sqrt { 70 } \mathrm { ft }\)

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Definitions:

Deadweight Loss

The diminishing of economic efficiency when equilibrium in the free market for a product or service is not attained.

Benevolent

Showing kindness or goodwill, often characterized by acts of generosity or concern for others.

Monopoly Firm

A business that is the sole provider of a good or service in a market, facing no competition, which can lead to higher prices and inefficiencies.

Barrier to Entry

Factors or conditions that prevent new competitors from easily entering an industry or area of business.