Solve the Right Triangle Shown in the Figure

question 138

Multiple Choice

Solve the right triangle shown in the figure. Round lengths to one decimal place and express angles to the nearest
tenth of a degree.
-A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 140 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 40°. What is the distance between the piling and the pier to the nearest foot?

• A) 117 feet
• B) 90 feet
• C) 107 feet
• D) 167 feet

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Definitions:

Concentrated

Having a high density or intensity of a particular attribute or substance in a specific area.

Differentiated

Describes a strategy or process by which a company distinguishes its products or services from those of its competitors, often through unique features, quality, or service.

Mass

A property of physical objects that quantifies the amount of matter they contain, often associated with weight.

Physically Free

The state of not being physically restricted or constrained by external forces or barriers.