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

Mathematics

1 answer:

PolarNik [594]2 years ago

8 0

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; brainly.com/question/7872492

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