Question

The measure of 0 in degrees is approximately 22.5

Answer 1

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

Correct degree is approximately 48.77

Answer 2

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.