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Triangle Q R S is shown. The length of Q S is 17, the length of S R is 18, and the length of Q R is 10. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleS to the nearest whole degree? 19° 26° 30° 33°

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calculista

Answer:

33 degrees

Step-by-step explanation:

we know that

see the attached figure to better understand the problem

Applying the law of cosines

[tex]QR^2=QS^2+SR^2-2(QS)(SR)cos(S)[/tex]

substitute the given values

[tex]10^2=17^2+18^2-2(17)(18)cos(S)[/tex]

[tex]100=289+324-(612)cos(S)[/tex]

[tex](612)cos (S)=613-100\\cos(S)=513/612\\S=cos^{-1}(513/612)\\S=33^o[/tex]

Ver imagen calculista
sherkaylajakes

Answer: the answer is 33

Step-by-step explanation: