Question

Please help I don’t know how to do these last 3 questions

Answer 1

`\text{11) }x\approx 9.44,\\\text{12) }x\approx 7.88,\\\text{13) }x\approx 15.79,`

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:

`\sin 19^(\circ)=(x)/(29),\\x=29\sin 19^(\circ),\\x\approx \boxed{9.44}`

12) Using the reference above, we have the following equation:

`\sin 21^(\circ)=(x)/(22),\\x=22\sin 21^(\circ),\\x\approx \boxed{7.88}`

13) Using the reference above, we have the following equation:

`\sin 33^(\circ)=(x)/(29),\\x=29\sin 33^(\circ),\\x\approx \boxed{15.79}`