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By solving through law of cosines the length s can be written as .
Given the length of US is 9, the length of ST is 10 and the length of UT is s and the angle UST is 100 degrees.
According to law of cosines a length can be written as
where c is the side opposite to the given angle and a and b are other sides , g is the angle given.
where s is the length of the side opposite to the angle given, the length of other sides are 9 and 10 where the angle is 100.
Hence the fourth option is correct which is s^{2} =9^{2} +10^{2} -2*9*10cos(100).
Learn more about trigonometric functions here brainly.com/question/24349828
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