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

B. False

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`

`(-36.91)/(-56)=cos\theta`

`cos\theta =(36.91)/(56)`

`\theta=arccos(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.