CBSE Class 10-Mathematics: Chapter – 9 Some Applications of Trigonometry Part 8 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 10:

From a window (h m high above the ground) of a house in a street, the angles of elevation and depression of the top and foot of another house on the opposite side of the street are respectively, show that the height of the opposite house is

From a Window of a House in a Street

Answer:

Let

In right

In right

Hence Proved.

Question 11:

A ladder rests against a wall at an angle to the horizontal. Its foot is pulled away from the wall through a distance ‘a’ so that it slides a distance ‘b’ down the wall making an angle with the horizontal. Show that

A Ladder Rests Against a Wall

Answer:

In right ,

Similarly, in right

Hence Proved.

Question 12:

A vertical tower stands on a horizontal plane and surmounted by vertical flagstaff of height h. At a point on the plane, the angles of elevation of the bottom and the top of the flagstaff are respectively, Prove that the height of the tower is

A Vertical Tower Stands on a Horizontal Plane

Answer:

Let Height of tower

Let Height of flagstaff

In right-angled triangle OAB and OAC,

And

Equating value of , we get

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