Question

Solve for x in the triangle A 25.6 B 27.8 C 45.6 D 64.4

Answer 1

Answer:

The measure of angle x is $64.4\°$

Step-by-step explanation:

To find the measure of angle X, apply the law of cosines

The law of cosines states that

$c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)$

In  this problem we have

$a=19\ cm$

$b=25\ cm$

$c=24\ cm$

$C=x\°$

substitute

$24^{2}=19^{2}+25^{2}-2(19)(25)cos(C)$

$576=986-950cos(C)$

$cos(C)=(986-576)/950$

$C=arccos[(986-576)/950]=64.4\°$

Therefore

The measure of angle x is $64.4\°$