Solve the Right Triangle $$a = 3.5 \mathrm {~m} , \mathrm {~B} = 21.8 ^ { \circ } , \mathrm { C } = 90 ^ { \circ }$$

question 250

Multiple Choice

Solve the right triangle. If two sides are given, give angles in degrees and minutes.
- $$a = 3.5 \mathrm {~m} , \mathrm {~B} = 21.8 ^ { \circ } , \mathrm { C } = 90 ^ { \circ }$$
Round values to one decimal place.

• A) \(\mathrm { A } = 68.2 ^ { \circ } , \mathrm { b } = 3.4 \mathrm {~m} , \mathrm { c } = 3.8 \mathrm {~m}\)
• B) \(\mathrm { A } = 68.2 ^ { \circ } , \mathrm { b } = 3.4 \mathrm {~m} , \mathrm { c } = 4.9 \mathrm {~m}\)
• C) \(\mathrm { A } = 68.2 ^ { \circ } , \mathrm { b } = 1.4 \mathrm {~m} , \mathrm { c } = 3.8 \mathrm {~m}\)
• D) \(\mathrm { A } = 68.2 ^ { \circ } , \mathrm { b } = 0.3 \mathrm {~m} , \mathrm { c } = 3.5 \mathrm {~m}\)

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Definitions:

Positive Relationship

A direct correlation between two variables where as one variable increases, the other also increases.

Straight Line

A direct path between two points without any curves or bends.

Positive Linear Relationship

A direct relationship between two variables where an increase in one variable results in an increase in the other variable.

Linear Manner

In a direct and proportional way, where changes in one quantity lead to predictable and constant changes in another.