CBSE Class 10-Mathematics: Chapter – 9 Some Applications of Trigonometry Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 2:

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle with it. The distance between the foot of the tree to the point where the top touches the ground is . Find the height of the tree.

In Right Triangle ABC

Answer:

In right triangle ABC,

Again,

Height of the tree

Question 3:

A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5 m and is inclined at an angle of to the ground, whereas for elder children, she wants to have a steep slide at a height of 3 m and inclined at an angle of to the ground. What should be the length of the slide in each case?

In Right Triangle ABC

Answer:

In right triangle ABC,

In right triangle PQR,

Hence, the lengths of the slides are and respectively.

Question 4:

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the lower is . Find the height of the tower.

The Angle of Elevation of the Top of a Tower

Answer:

In right triangle ABC,

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