Hi, Please, can you explain step by step. The new hampshere StatePolice use airc

Question

Hi,
Please, can you explain step by step.
The new hampshere StatePolice use aircraft to entorce heighway speed limits.
Suppose tha one of the airplanes has a speed of 135 mi/h in stillair. It is flying straight north
so that it is at all time directly above a north-southheighway. A groung observer tells
the piot by radio that a 70-mi/h wind is blowing but neglects togive the wind direction.
The pilot observes that in spite of the wind the plane cantravel135 mi along the heighway
in 1 h. In other word, the ground speed is the same as if therewere no wind.
(a) What is the direction of the wind?
(b) What is the heading of the plane, that is, the angle betweenits axis and the heighway? Thak You Hi,
Please, can you explain step by step.
The new hampshere StatePolice use aircraft to entorce heighway speed limits.
Suppose tha one of the airplanes has a speed of 135 mi/h in stillair. It is flying straight north
so that it is at all time directly above a north-southheighway. A groung observer tells
the piot by radio that a 70-mi/h wind is blowing but neglects togive the wind direction.
The pilot observes that in spite of the wind the plane cantravel135 mi along the heighway
in 1 h. In other word, the ground speed is the same as if therewere no wind.
(a) What is the direction of the wind?
(b) What is the heading of the plane, that is, the angle betweenits axis and the heighway? Thak You Thak You

Explanation / Answer

The new hampshere StatePolice use aircraft to entorce heighway speed limits.
Suppose tha one of the airplanes has a speed of 135 mi/h in stillair. It is flying straight north
so that it is at all time directly above a north-southheighway. A groung observer tells
the piot by radio that a 70-mi/h wind is blowing but neglects togive the wind direction.
The pilot observes that in spite of the wind the plane cantravel135 mi along the heighway
in 1 h. In other word, the ground speed is the same as if therewere no wind.
(a) What is the direction of the wind?
towards east
(b) What is the heading of the plane, that is, the angle betweenits axis and the heighway?
tan=70/135=0.5185
so angle=27.40degree north of west.

tan=70/135=0.5185
so angle=27.40degree north of west.

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