Free Class 10 Application of trigonometry Worksheets

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Sample Class 10 Application of trigonometry Worksheet Questions

1.

The angle of elevation of a jet plane from a point P on the ground is $60^{\circ}$. After a flight of 30 seconds the angle of elevation changes to $30^{\circ}$. If the jet plane is flying at a constant height of $3000\sqrt{3}m$ Find the speed of the jet plane.

2.

Two posts are l meter apart and the height of one is double that of the other. If from the midpoint of the line segment joining their feet, An observer finds the angle of elevation of their tops to be complementary, then find the height of the shorted post.

3.

The angle of elevation of the top A of a vertical tower AB from apoint X on the ground is $60^{\circ}$. From a point k point y 40 m vertically above X the angle of elevation of the top A of tower is $45^{\circ}$. Find the height of the tower and distance AX.

4.

The angle of elevation of the top Q of a tower PQ from a point X on the ground is $60^{\circ}$. At a point Y, 40 m vertically above X the angle of elevation of the top is $45^{\circ}$. Find the height of the tower PQ and the distance XY.

5.

The Angle of elevation of the top of a tower from two points A and B at distance of p & q respectively from the base and in the same straight line with it are complementary. Prove that the height of the tower is $\sqrt{pq}$ .

6.

A 1.6 m Tall boy stands at a distance of 3.2 m from a lamppost and casts a shadow of 4.8 m on the ground, Find the height of the lamp post.

7.

Two boys standing on opposite sides of a tower measures the angles of elevation of the top of the tower as $30^{\circ}$ & $60^{\circ}$. If the height of the tower is 20 m , Then find the distance between the two boys.

8.

A girl, flying a kite with a string of 90 m long which is making an angle of $\Theta$ with the ground. Find the height of the kite. (given $\tan&space;\Theta&space;=&space;\frac{15}{8}$)

9.

From top of a building 100 m high the angle of depression of two objects are on the same side observes to be $45^{\circ}$ and $60^{\circ}$. Find the distance between the objects.

10.

The Angle of depression of the top and bottom of an 8m tall building from top of a multi-stored building are $30^{\circ}$ & $60^{\circ}$. Find the height of multistored building and distance between both.

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