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quester [9]
3 years ago
15

The measure of 0 in degrees is approximately 22.5

Mathematics
2 answers:
miv72 [106K]3 years ago
8 0

Using law of cosines and we will see that it is false.

Correct degree is approximately 48.77

DiKsa [7]3 years ago
5 0

Answer:

B. False

Step-by-step explanation:

We apply cosine law in the given triangle for measuring the value of \theta and write.

a^{2} = b^{2} +c^{2} -2*b*c*cos\theta

5.3^{2} = 7^{2} + 4^{2}  - 2*7*4*cos\theta ( We put the value of a,band c which shown in the figure )

28.09 =49 +16 - 56*cos\theta

28.09 =65 -56*cos\theta

28.09 - 65 = -56*cos\theta

-36.91 =-56*cos\theta

\frac{-36.91}{-56}=cos\theta

cos\theta =\frac{36.91}{56}

\theta=arccos\frac{36.91}{56}

\theta =48.768 degree (Approximate value of angle calculated with the help of online calculator). Hence the given approximate value of \theta =22.5 degree is false.

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