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Softa [21]
3 years ago
11

Two planes leave an airport at the same time. Thier speeds are mph 130 and 150 mph, and the angle between thier courses is 36 de

gree. How far apart are they after 1.5 hours?
Mathematics
1 answer:
Reil [10]3 years ago
5 0

Answer:

132.89 miles

Step-by-step explanation:

Let plane A travel at 130 mph and plane B travel at 150 mph.

After 1.5 hours, the total distance traveled by each plane is:

A = 1.5 *130\\A = 195\ miles\\B = 1.5 *150\\B = 225\ miles

The law of cosines can be used to find the distance (D) between both planes as follows:

D^2 = A^2+B^2-2AB*cos(36)\\D=\sqrt{195^2+225^2-(2*195*225*cos(36))}\\D=132.89\ miles

They are 132.89 miles apart after 1.5 hours.

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