CBSE Class 10-Mathematics: Chapter –9 Some Applications of Trigonometry Part 15

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3 Mark Questions

Question 1:

A tall boy is standing at some distance from a tall building. The angle of elevation from his eyes to the top of the building increases from to as he walks towards the building. Find the distance he walked towards the building.

Tall boy is standing at some distance

Tall Boy is Standing at Some Distance

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Answer:

and

In right triangle ,

In right triangle ACP,

Hence, the walked towards the building is .

Question 2:

From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a high building are respectively. Find the height of the tower.

Find the height of the tower

Find the Height of the Tower

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Answer:

Let the height of the tower be m. Then, in right triangle CBP,

In right triangle ABP,

Putting this value in eq. (i), we get,

The height of the tower is