An airplane flies 220 miles with a heading of 40 degrees and then flies 180 miles with a heading of 170 degrees. How far is the plane from its starting point, and at what heading? Round answers to the nearest tenth.

Using the Cosine Rule, the distance of the plane from it's starting position would be 172.9 miles.

Recall :

Inputting the values into the formula :

b² = 220² + 180² - 2(220 × 180) × cos(50)

b² = 80800 - 50908.778

b² = 29891.221

b = √29891.221

b = 172.89

b = 172.9 miles

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172.9 miles

Step-by-step explanation:

From the diagram,

Using Alternate Angles, the Angle at B = 50 degrees.

We want to determine the distance from A to C,

Using Cosine Rule

The distance from A to C is 172.9 miles to the nearest tenth.

step-by-step explanation:

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