Tiwari Academy Discussion

Asked: November 3, 2020In: Class 9

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:163 Questions No:10

Ishita Katyal

Asked: November 3, 2020In: Class 9

A villager Itwaari has a plot of land of the shape of a quadrilateral. The Gram Panchayat of the village decided to take over some portion of his plot from one of the corners to construct a Health Centre. Itwaari agrees to the above proposal with the condition that he should be given equal amount of land in lieu of his land adjoining his plot so as to form a triangular plot. Explain how this proposal will be implemented.

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:164 Questions No:12

Ishita Katyal

Asked: November 3, 2020In: Class 9

ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (ADX) = ar (ACY).

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.3 Page No:164 Questions No:13

Ishita Katyal

Asked: November 3, 2020In: Class 9

Parallelogram ABCD and rectangle ABEF are on the same base AB and have equal areas. Show that the perimeter of the parallelogram is greater than that of the rectangle.

NCERT Solutions for Class 9 Maths Chapter 9 Important NCERT Questions Areas of Parallelograms and Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.4 Page No:164 Questions No:1

Himmat Rustagi

Asked: October 30, 2020In: Class 9

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30°.

NCERT Solutions for Class 10 Maths Chapter 9 Important NCERT Questions SOME APPLICAT IONS OF TRIGONOMETRY (Height and Distance) NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.1 Page No:203 Questions No:1

Himmat Rustagi

Asked: October 30, 2020In: Class 9

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.

NCERT Solutions for Class 10 Maths Chapter 9 Important NCERT Questions SOME APPLICAT IONS OF TRIGONOMETRY (Height and Distance) NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.1 Page No:213 Questions No:2

Himmat Rustagi

Asked: October 30, 2020In: Class 10

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, is inclined at an angle of 30° to the ground, whereas for elder children, she wants to have a steep slide at a height of 3m, and inclined at an angle of 60° to the ground. What should be the length of the slide in each case?

NCERT Solutions for Class 10 Maths Chapter 9 Important NCERT Questions SOME APPLICAT IONS OF TRIGONOMETRY (Height and Distance) NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.1 Page No:213 Questions No:3

Himmat Rustagi

Asked: October 30, 2020In: Class 10

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 tower, is 30°. Find the height of the tower.

NCERT Solutions for Class 10 Maths Chapter 9 Important NCERT Questions SOME APPLICAT IONS OF TRIGONOMETRY (Height and Distance) NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.1 Page No:204 Questions No:4

Himmat Rustagi

Asked: October 30, 2020In: Class 10

A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Find the length of the string, assuming that there is no slack in the string.

NCERT Solutions for Class 10 Maths Chapter 9 Important NCERT Questions SOME APPLICAT IONS OF TRIGONOMETRY (Height and Distance) NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.1 Page No:204 Questions No:5

Himmat Rustagi

Asked: October 30, 2020In: Class 9

A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.

NCERT Solutions for Class 10 Maths Chapter 9 Important NCERT Questions SOME APPLICAT IONS OF TRIGONOMETRY (Height and Distance) NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 9.1 Page No:204 Questions No:6

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (ADX) = ar (ACY).

Parallelogram ABCD and rectangle ABEF are on the same base AB and have equal areas. Show that the perimeter of the parallelogram is greater than that of the rectangle.

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30°.

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.

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 tower, is 30°. Find the height of the tower.

A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Find the length of the string, assuming that there is no slack in the string.

A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.

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