A Surveyor Wants to Find the Distance Across a River $\theta$

question 18

Multiple Choice

A surveyor wants to find the distance across a river.A stake is placed on each bank of the river as shown in the figure.She measures a distance of 30.0 m from one stake to another on the same side of the river, thus finding the third vertex on a right triangle.She then measures the angle $\theta$ and finds it equal to 75.9°.What is the distance across the river?

• A)89.2 m
• B)15.3 m
• C)119 m
• D)268 m
• E)29.0 m

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Definitions:

Indian Lands

Territories within the United States reserved for Native American tribes by the government, recognized as sovereign entities with certain levels of autonomy.

Virginia Planters

Wealthy landowners in colonial Virginia who dominated the social and political life of the region, primarily through their extensive cultivation of tobacco using enslaved labor.

Conflict

Involves a serious disagreement or argument, often a protracted one, which can occur between individuals, groups, or nations.

Chesapeake Families

Refers to the socio-economic structures and family systems predominant in the Chesapeake Bay region during the colonial and early American periods.