Answer:
[tex]\text{11) }x\approx 9.44,\\\text{12) }x\approx 7.88,\\\text{13) }x\approx 15.79,[/tex]
Step-by-step explanation:
In a right triangle only, the sine of an angle is equal to the angle's opposite side divided by the hypotenuse of the triangle. (o/h)
The cosine of the angle is equal to the angle's adjacent side divided by the hypotenuse of the triangle. (a/h)
The tangent of the angle is equal to angle's opposite side divided by the adjacent side. (o/a)
*In all three of these problems, we will be using sine, since we are given the angle's opposite side and the hypotenuse. (o/h)
11) Using the reference above, we have the following equation:
[tex]\sin 19^{\circ}=\frac{x}{29},\\x=29\sin 19^{\circ},\\x\approx \boxed{9.44}[/tex]
12) Using the reference above, we have the following equation:
[tex]\sin 21^{\circ}=\frac{x}{22},\\x=22\sin 21^{\circ},\\x\approx \boxed{7.88}[/tex]
13) Using the reference above, we have the following equation:
[tex]\sin 33^{\circ}=\frac{x}{29},\\x=29\sin 33^{\circ},\\x\approx \boxed{15.79}[/tex]
