Question

Find the missing side or angle. Round to the nearest tenth. b=3 a=9 c=11 C= ?

Answer 1

Answer:

C=125°

Step-by-step explanation:

Hi there!

To find angle C, we can use the cosine law:

$cosC=\frac{a^2+b^2-c^2}{2ab}$

Plug in the given information

$cosC=\frac{9^2+3^2-11^2}{2(9)(3)}$

$cosC=\frac{-31}{54}$

$C=cos^-^1(\frac{-31}{54})$

$C=cos^-^1(\frac{-31}{54})\\C=125$

Therefore, angle C is approximately 125 degrees.

I hope this helps!