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german
3 years ago
12

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

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0

Answer: 50 degrees.

Step-by-step 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:

\frac{-980}{-1,360}=\frac{-1,360cos(Q)}{-1,360}\\\\\frac{49}{68}=cos(Q)

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

Q=Arcos(\frac{49}{68})\\\\Q=49.89\°

To the nearest whole degree, this is:

Q=50\°

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