Question

Two planes leave Berlin. One plane flies 939 km to London. The other plane flies to 882 km to Paris. The angle

between the flights is 18º.What is the distance between London and Paris?

London

939 km

18

Berlin

882 km

Paris

Answer 1

The distance between London and Paris is 290.38km

To get the distance between London and Paris, we will see the cosine formula as shown:

c² = a² + b² - 2ab cosФ

Given the following parameters:

• a = 939km
• b = 882 km
• Ф = 18⁰

Substitute into the formula to have:

c² = a² + b² - 2ab cosФ

c² = 939² + 882² - 2(939)(882) cos18

c² = 1,659,645 - 1575326.21

c² = 84,318.79

c = 290.38km

Hence the distance between London and Paris is 290.38km

Learn more on cosine rule here; https://brainly.com/question/7872492