What is the measure of AngleS to the nearest whole degree? 19° 26° 30° 33°

A= 33 degrees

A=33°

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW, ALSO CHECK THE ATTACHMENT FOR THE DIAGRAM

Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of S to the nearest whole degree? 19° 26° 30° 33°

EXPLANATION

Accordingto the law of cosines in

trigonometry, which gives the relationship between the lengths of the sides of a triangle to the cosine of one of its angles.

From the diagram at the attachment, the sides of the triangle are:a=10 ,b=17 ,c=18

The law can is described using the formula below;

a² = b²+ c² – 2*b*c*cos(A)

To get the angle cos(A), we make cos(A) subject of formula

cos(A)=[b²+c²-a²]/[2*b*c]

Then inserting the figures

cos (A)=[17²+18²-10²]/[2*17*18]

cos (A)=0.8382

Then find the inverse of cos(A)

A=arc cos (0.8382)

A=33.05°

A=33°( approximately)

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step-by-step explanation:

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