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Mathematics
19.11.2020 07:49
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The law of cosines is used to find the measure of q. 242 = 202 + 342 – 2(20)(34)cos(q)

The law of cosines is used to find the measure of q. 242 = 202 + 342 – 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
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loudiema
loudiema
5,0(39 marks)

44 degrees.

Step-by-step explanation:

We are asked to find the measure of angle Q using law of cosines.

Law of cosines:

c^2=a^2+b^2-2ab\times cos(C)

Upon substituting our given values in above formula we will get,

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

576=400+1156-1360\times cos(Q)

576=1556-1360\times cos(Q)

576-1556=1556-1556-1360\times cos(Q)

-980=-1360\times cos(Q

Upon dividing both sides of our equation by -1360 we will get,

\frac{-980}{-1360}=\frac{-1360\times cos(Q}{-1360}

0.7205882352941176=cos(Q)

Now we will use arccos to solve for the measure of angle Q.

cos^{-1}(0.7205882352941176)=Q

43.896932391182=Q

Q\approx 44

Therefore, the measure of angle Q is 44 degrees.

anna8352
anna8352
4,4(15 marks)

yes i can

Step-by-step explanation:

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