A jet is traveling at 580 miles per hour at a bearing of 50 degree north. after flying for 1.7 hours in the same direction, how far east will the plane have traveled?

Respuesta :

Answer:

The jet flies 755.32 miles east after flying for 1.7hrs at a bearing of 50 degree North.

Step-by-step explanation:

The distance covered by the jet can be deducted from velocity = distance / time

therefore distance = velocity x time

distance = 580miles/hr x 1.7hrs

= 986 miles

At bearing of 50°, distance towards the east can be generated using the right angle triangle model such that the distance covered x miles can be generated using Sin(theta)  = opp/hyp as shown in the attached diagram

theta is the angle covered = 50°

opposite is the distance covered by the jet towards the east (x)

hypotenuse is the distance covered after flying for 1.7hrs

therefore Sin(50) = x / 986

x = 986 Sin 50

x = 986 × 0.7660

x = 755.32 miles

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