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Anit [1.1K]
3 years ago
14

Two planes A and B start from the same place and move in different directions making an angle of 50° between them the speed of p

lane A is 200 mph and the speed of plane B is 300 mph the two planes are blank miles apart after one hour?
Mathematics
1 answer:
Alika [10]3 years ago
4 0

Answer:

The distance between them is 230.65 miles

Step-by-step explanation:

Here we use the Cosine formula

a^2 = b^2 + c^2 - 2bc\ cos\ A\\\\a^2 = 200^2 + 300^2 - 2\times 200\times 300cos50^{\circ}\\\\= 40,000 + 90,000 - 120,000cos50^{\circ}\\\\= 130,000 - 120,000 \times 0.64\\\\= 130,000 - 76,800\\\\a^2= 53,200\\\\a = \sqrt{53,200} \\\\= 230.65\ miles\ per\ hour

Now the distance for one hour is

= 230.65 ÷ 1

= 230.65 miles

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