Answer:
Step-by-step explanation:
The triangle ABC formed by Ari, Beatrice and Cece is shown in the attached photo.
a) To determine the the distance between Ari and Cece, we would apply the cosine rule. It is expressed as
b^2 = a^2 + c^2 - 2acCosB
a = 15 meters
b = AC
c = 20 meters
b^2 = 15^2 + 20^2 - 2 × 15 × 20 × -0.7071
b^2 = 225 + 400 + 424.26 = 1049.26
b = √1049.26 = 32.4
b) To determine the measure of the smallest angle, we would apply the sine rule.
a/SinA = b/SinB
It becomes
15/SinA = 32.4/Sin 135
15/SinA = 32.4/0.7071 = 45.82
SinA = 15/45.82 = 0.3274
A = 19 degrees
The smallest angle is 19.1 degrees
