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Horizontal Level and Line of Sight

An aeroplane ...

Question

An aeroplane flying horizontally 1 km above the ground is observed t an elevation of 60°. After 10 seconds, its elevation is observed to be 30°. Find the speed of the aeroplane in km/hr.

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Solution

An aero plane is flying km above the ground making an angle of elevation of aero plane 60°. After seconds angle of elevation is changed to 30°. Let , , , ,km and km. Here we have to find speed of aero plane.

The corresponding figure is as follows

So we use trigonometric ratios.

In

Again in,

Hence the speed of aero plane is km/h.

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Similar questions

Q. An aeroplane flying horizontally

1 km

above the ground and going away from the observer is observed at an elevation of

60^{\circ}

10

seconds, its elevation is observed to be

30^{\circ}

. find the uniform speed of the aeroplane in km per hour.

Q. An aeroplane is flying horizontally 1 km above the ground is observed at an elevation of 60. If after 10 seconds the elevation is observed to be 30, the uniform speed of the aeroplane is_______

Q. An aeroplane flying horizontally

1 km

above the ground is observed at an elevation of

60^{\circ}

10

seconds the elevation is observed to be

30^{\circ} .

The uniform speed of the aeroplane in

km/h

Q. An Aeroplane flying horizontal and

1.2

km above the ground is observed at an

∠ 60^{\circ}

15

sec the angle of elevation is observed to be

30^{\circ}

. Find the speed of aeroplane in km/hr.

(\sqrt{3} = 1.73

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