Answer: 50 degrees.
Step-by-step explanation:
To find the measure of the angle Q, you need to follow these steps:
- Knowing that:
[tex]-980= -(1,360)cos(Q)[/tex]
You can divide both sides of the equation by -1,360:
[tex]\frac{-980}{-1,360}=\frac{-1,360cos(Q)}{-1,360}\\\\\frac{49}{68}=cos(Q)[/tex]
- Finally, using the inverse function of the cosine, Arccosine, we get:
[tex]Q=Arcos(\frac{49}{68})\\\\Q=49.89\°[/tex]
To the nearest whole degree, this is:
[tex]Q=50\°[/tex]
