Two planes leave an airport at the same time. Their speeds are 90 miles per hour and 180 miles per hour, and the angle between their courses is 48°. How far apart are they after 1.5 hours? (Round your answer to the nearest whole number.)

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Mathematics

11 August, 23:31

Two planes leave an airport at the same time. Their speeds are 90 miles per hour and 180 miles per hour, and the angle between their courses is 48°. How far apart are they after 1.5 hours? (Round your answer to the nearest whole number.)

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Belen Arnold · Answer 1

The distances they've flown are 2 sides of a triangle.

a = 90*1.5 = 135 miles

b = 180*1.5 = 270 miles

The angle between the sides is 48º

Use the Cosine Law to find the 3rd side:

c^2 = a^2 + b^2 - 2*a*b*cos (48) to get your answer