Answer:The length of c = 18.7 units ⇒ answer (d)Step-by-step explanation:In triangle ABC:∵ measure of angle B = 17° 55'∵ measure of angle C = 98° 15'∵ The sum of measures of the interior angles of a triangle is 180°∴ The measure of angle A = 180 - (17° 55' + 98° 15') = 63° 50'∵ The length of a = 17 units* To find the length of c use the sin Rule- a/sin(A) = b/sin(B) = c/sin(C)- a is the side opposite to angle A, b is the side opposite to angle B and c is the side opposite to angle C∴ 17/sin(63° 50') = c/sin(98° 15')* By using cross-multiplication∴ c = (17 × sin(98° 15')) ÷ sin(63° 50')∴ c = 18.7 units∴ The length of c = 18.7 units ⇒ answer (d)