Question

24^2= 20^2+34^2-2(20)(34)cos(Q)

576=400+1156-(1360)cos(Q)
576=1556-(1360)cos(Q)
-980= -(1360)cos(Q)
To the nearest whole degree, the measure of angle Q is ____ degrees.

Answer 1

Answer: 50 degrees.

Explanation:

To find the measure of the angle Q, you need to follow these steps:

- Knowing that:

`-980= -(1,360)cos(Q)`

You can divide both sides of the equation by -1,360:

`(-980)/(-1,360)=(-1,360cos(Q))/(-1,360)\\\\(49)/(68)=cos(Q)`

- Finally, using the inverse function of the cosine, Arccosine, we get:

`Q=Arcos((49)/(68))\\\\Q=49.89\°`

To the nearest whole degree, this is:

`Q=50\°`