contestada

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.

Respuesta :

Answer:

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

[tex]b^2=a^2+c^2-2acCos B\\b^2=220^2+180^2-2(220)(180)Cos 50\\b^2=29891.22\\b=172.89=172.9 miles[/tex]

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

Ver imagen Newton9022
fichoh

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

Recall :

  • b² = c² + a² - 2ca CosB

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

Learn more : https://brainly.com/question/24423994

Ver imagen fichoh

Otras preguntas