Question

Directions: Read each problem, then solve for the missing part(s).
13. A pilot flying over the Norfolk airport is told he will have to redirect and land in either Richmond or
Raleigh. Due to air traffic, he is then told he must land in Raleigh. Find the distance he will travel.

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