Physics Fans! I've got a challenge!?

Question

Now this is about the law of cosine! Help me come up with a REAL WORLD mathematical problem pertaining to the law of cosine and you will be my hero! And a life saver!

Answer 1

Here's one, and it's a good one. It's hypothetical, but I'm sure it happens every day and people could be at risk:

From an airport control tower (T), a Cessna bears 023 degrees T and is 27km away. At the same time, a Boeing 767 bears 051 degrees T and is 61km from the tower. Both planes are at the same height.

i) What is the size of angle ATB?

ii) Using the cosine rule to calculate the distance the planes are apart, to nearest kilometer.

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