In triangle ABC, B=17 55', C=98 15' and a=17. What is the length of c?

a. 26.2

b. 14.3

c. 22.4

d. 18.7

18.7

Step-by-step explanation:

Correct on edg2020

Option d. 18.7 units

Step-by-step explanation:

step 1

we have

B=17° 55'=17+55/60=17.92°

C=98° 15'=98+15/60=98.25°

step 2

Find the measure of angle A

∠A+∠B+∠C=180°

substitute

∠A+17.92°+98.25°=180°

∠A=180° - (17.92°+98.25°) = 63.83°

step 3

Applying the law of sines

c/sin (C) = a/sin (A)

substitute the values

c/sin (98.25°) = 17/sin (63.83°)

c=sin (98.25°) * 17/sin (63.83°)

c=18.7 units