Assume That the Cities Lie on the Same North-South Line $6.6$

question 82

Multiple Choice

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.
-Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel to rotate. The radius of the smaller wheel is $6.6$ centimeters and the radius of the larger wheel is $15.2$ centimeters. Through how many degrees (to the nearest hundredth of a degree) will the larger wheel rotate if the smaller one rotates $38 ^ { \circ }$ ?

• A) \(17.50 ^ { \circ }\)
• B) \(16.50 ^ { \circ }\)
• C) \(16.40 ^ { \circ }\)
• D) \(18.50 ^ { \circ }\)

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Definitions:

Lead

A chemical element with the symbol Pb and atomic number 82, known for its use in batteries, bullets, and as a protective shielding against radiation.

Refuse Act

A federal law aimed at protecting navigable waters in the United States by prohibiting the discharge of refuse into these waters without a permit.

Clean Water Act

A U.S. federal law aimed at reducing pollution and protecting the quality of waters.

Water Pollution

The contamination of water bodies such as lakes, rivers, oceans, and groundwater caused by harmful substances or heat, which degrades water quality and adversely affects aquatic ecosystems and human health.