Question

Directions: Read each problem, then solve for the missing part(s).

Answer 1

I have attached an image showing the triangle with angle and distance depicted in the question.

Answer:

151 miles

Step-by-step explanation:

We have to first find the unknown angle in the triangle.

Sum of angles in a triangle is 180°.

Thus, if we call angle at Norfolk A, we have;

A = 180 - (83 + 31)

A = 66°

Using sine rule, we can find the distance which we will term as a.

Thus;

a/sin 83 = 139/sin 66

a = (139 × sin 83)/sin 66

a = 137.963915/0.913545

a ≈ 151 miles