Question 1

Find the area of the triangle. If necessary, round the answer to two decimal places.
-

Accepted Answer

A)  22.82 
B)  11.41 
C)  12.24 
D)  5.71 
A)  22.82 
B)  11.41 
C)  12.24 
D)  5.71

Question 2

Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no
triangle at all. Solve any triangle(s) that results.
-$$\mathrm { a } = 7 , \quad \mathrm {~b} = 9 , \quad \beta = 49 ^ { \circ }$$

Accepted Answer

A)  two triangles
$$\begin{array} { l } 
\alpha _ { 1 } = 76.01 ^ { \circ } , \gamma _ { 1 } = 54.99 ^ { \circ } , \mathrm { c } _ { 1 } = 7.60 \text { or } \
\alpha _ { 2 } = 103.99 ^ { \circ } , \gamma _ { 2 } = 27.01 , \mathrm { c } _ { 2 } = 12.14
\end{array}$$ 
B)  one triangle

$$\alpha = 35.94 ^ { \circ } , \gamma = 95.06 ^ { \circ } , \mathrm { c } = 11.88$$ 
C)  one triangle
$$\alpha = 76.01 ^ { \circ } , \gamma = 54.99 ^ { \circ } , \mathrm { c } = 7.60$$ 
D)  no triangle 
A)  two triangles
$$\begin{array} { l } 
\alpha _ { 1 } = 76.01 ^ { \circ } , \gamma _ { 1 } = 54.99 ^ { \circ } , \mathrm { c } _ { 1 } = 7.60 \text { or } \
\alpha _ { 2 } = 103.99 ^ { \circ } , \gamma _ { 2 } = 27.01 , \mathrm { c } _ { 2 } = 12.14
\end{array}$$ 
B)  one triangle

$$\alpha = 35.94 ^ { \circ } , \gamma = 95.06 ^ { \circ } , \mathrm { c } = 11.88$$ 
C)  one triangle
$$\alpha = 76.01 ^ { \circ } , \gamma = 54.99 ^ { \circ } , \mathrm { c } = 7.60$$ 
D)  no triangle

Question 3

Find the area of the triangle. If necessary, round the answer to two decimal places.
-$a = 12 , b = 15 , \gamma = 52 ^ { \circ }$

Accepted Answer

A)  88.80 
B)  35.46 
C)  70.92 
D)  141.84 
A)  88.80 
B)  35.46 
C)  70.92 
D)  141.84

Find the area of the triangle. If necessary, round the answer to two decimal places. -

Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results. - $\mathrm { a } = 7 , \quad \mathrm {~b} = 9 , \quad \beta = 49 ^ { \circ }$

Find the area of the triangle. If necessary, round the answer to two decimal places. - $a = 12 , b = 15 , \gamma = 52 ^ { \circ }$

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Exam 7: Applications of Trigonometric Functions