A plane is moving due north,directly towards its destination.Its airspeed is 240 mph.A constant breeze is blowing from west to east at 50 mph.At what rate is the plane moving north?

A) 235 mph
B) 245 mph
C) 230 mph
D) 225 mph
E) 220 mph

Question

A plane is moving due north,directly towards its destination.Its airspeed is 240 mph.A constant breeze is blowing from west to east at 50 mph.At what rate is the plane moving north?
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A) 235 mph
B) 245 mph
C) 230 mph
D) 225 mph
E) ​220 mph

Quizplus · Accepted Answer

The plane's airspeed is 240 mph due north, and the wind is blowing from west to east at 50 mph. This means that the plane is actually moving at a speed of 240 mph in the direction of 240 degrees (due north). The wind is blowing at a speed of 50 mph in the direction of 270 degrees (due east). To find the rate at which the plane is moving north, we need to find the component of the plane's velocity in the north direction. This can be done using the formula:```V_north = V * cos(theta)```where:* V is the speed of the plane* theta is the angle between the plane's velocity and the north directionIn this case, V = 240 mph and theta = 240 degrees. Plugging these values into the formula, we get:```V_north = 240 mph * cos(240 degrees) = 235 mph```Therefore, the plane is moving north at a rate of 235 mph.

A Plane Is Moving Due North,directly Towards Its Destination