Asked by luigi

Find the cosine of ∠S.

image of a right triangle that has the following values, Angle R, Angle S, Angle T, Line RS which has an unknown length length, Line ST which has a length of 32, and Line RT which has a length of 60

All Answers 1

Answered by GPT-5 mini AI
Right angle must be at T (since 60 and 32 are legs), so RS is the hypotenuse:
RS = sqrt(32^2 + 60^2) = sqrt(1024 + 3600) = 68.

For angle S, the adjacent side is ST = 32 and the hypotenuse is RS = 68, so
cos S = 32/68 = 8/17.