Solve the Right Triangle $$b = 264.5 \mathrm {~m} , c = 390.5 \mathrm {~m}$$

question 12

Multiple Choice

Solve the right triangle. Round your answer to the appropriate number of significant digits. $$b = 264.5 \mathrm {~m} , c = 390.5 \mathrm {~m}$$

• A) \(a = 390.5 \mathrm {~m} , \angle A = 42.64 ^ { \circ } , \angle B = 47.36 ^ { \circ }\)
• B) \(a = 264.5 \mathrm {~m} , \angle A = 27.66 ^ { \circ } , \angle B = 62.34 ^ { \circ }\)
• C) \(a = 287.3 \mathrm {~m} , \angle A = 38.74 ^ { \circ } , \angle B = 51.26 ^ { \circ }\)
• D) \(a = 287.3 \mathrm {~m} , \angle A = 47.36 ^ { \circ } , \angle B = 42.64 ^ { \circ }\)
• E) \(a = 484.8 \mathrm {~m} , \angle A = 47.36 ^ { \circ } , \angle B = 42.64 ^ { \circ }\)

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Definitions:

Artisan's Lien

A legal claim granted to craftsmen or laborers on property they have worked on or materials they have supplied, to ensure payment for their services.

Property

Assets or possessions owned by an individual or entity, encompassing both tangible and intangible goods.

Mechanic's Lien

A legal claim against a property by a contractor or worker, for unpaid labor or materials provided for the property's improvement.

Real Property

Land and anything permanently attached to it, such as buildings and structures, including rights associated with the land.