Answer:
Distance between A to C is 16.62km
Step-by-step explanation:
See attached document to get a better illustration of the angle.
A = 83°
B = 53°
C = ?
180° = 83° + 53° + C (sum of angles in a triangle is equal to 180°)
180° = 142° + c
C = 180 - 142
C = 38°
To find the distance AC, we have to use sine rule.
a / sin(A) = b / sin(B) = c / sin(C)
a / sin(A) = c / sin(C)
a /sin83 = 10.31 / sin38
Cross multiply
10.31 * sin83 = a * sin38
10.23 = (0.61566)a
a = 10.23 / 0.61566
a = 16.616 km
a = 16.62km
The distance between A and C is 16.62km
