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LUCKY_DIMON [66]
3 years ago
5

using satellite technology the distance between two planes can be measured by keeping track of the angles between them and the d

istances of each plane to the tracking station. assume plane 1 is 176.27 miles away and plane two is 222.34 miles and the angle formed with the tracking station is 38.59 degrees. how far apart is the planes
Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0
With the given in this item, the best way to solve for the distance between the planes is through the cosine law which can be mathematically expressed as,
                             c² = b² + a² - 2ab(cosC)
Substituting the given,
       c² = (176.27 mi)² + (222.34 mi)² - 2(176.27 mi)(222.34 mi)(cos 38.59°)
                            c = 138.71 mi
Thus, the distance between the two planes is approximately 138.71 miles. 
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