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)
