Answer: D. 6.9
Out of Soh Cah Toa, this equation is a “Soh” problem as the opposite of the known angle R can only be solved using the known hypotenuse side (12).
Find sin:
sin35° = Side ST/12
Multiply both sides by 12:
(12)*sin35° = Side ST/12*(12)
Denominator cancels out, equal sign flips around:
Side ST = 12sin35°
Evaluate:
12sin35° = 6.88291723
Round answer to nearest tenth:
6.88291723 = 6.9
Answer:
Side ST = 6.9
