Vishwakarma Classes's video: Board Exam Paper 2023 Class 10 Maths NCERT RBSE

My app Link https://play.google.com/store/apps/details?id=co.arya.kopdy Refferal Code "18DEC19" for 90% Discount Class 8 All Subjects :: http://on-app.in/app/oc/118560/kopdy class 9 full course :: http://on-app.in/app/oc/145557/kopdy Class 10 All Sujects :: http://on-app.in/app/oc/116521/kopdy My Telegram Channel Please Join : https://t.me/mankiganit My Telegram Group Please Join : https://t.me/+UTk9aqHoevaQhhtM My Other channels Hindi Medium Channel : Vishwakarma Classes : youtube.com/marsa143 English medium math (Class 6 to 10) : Mann Ki Ganit : https://www.youtube.com/channel/UCCHrTE-Z_GRWAUpnf1FVeGw Accountancy Channel : https://www.youtube.com/channel/UCJnQx6yM-gWYyxIgGWMWszw for Competition Classes (Dear Guruji) : https://www.youtube.com/channel/UCxns2LQS0c3TRmA_FB6rKLA Tushar Gaming : https://www.youtube.com/channel/UCwbj6jW4Tdhuxh4ak5mIJDQ Class 10 Maths : https://www.youtube.com/channel/UCMf_hdKCYyg6Z13Mj0q_0fw Class 9 Maths : https://www.youtube.com/channel/UCMJkT1Hoykz1pdufTlwpTCQ Class 8 Maths : https://www.youtube.com/channel/UC2yygj4FDGqKd4ws09fZuAw Class 7 Maths : https://www.youtube.com/channel/UCIB9GiBBklofTjOwGTnnc6w Class 6 Maths : https://www.youtube.com/channel/UCVRf6oKf5LjHCbISnFvPoaw My Son Channel (Handsom Boy Tushar) : https://www.youtube.com/channel/UCVRf6oKf5LjHCbISnFvPoaw EXERCISE 9.1 1. 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° (see Fig. 9.11). 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 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 ntree. 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, andis 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? 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 tower, is 30°. Find the height of the tower. 5. 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. 6. 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. 7. 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 20 m high building are 45° and 60° respectively. Find the height of the tower. 8. A statue, 1.6 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedestal is 45°. Find the height of the pedestal. 9. The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building. 10. Two poles of equal heights are standing opposite each other on either side of the road, bwhich is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60° and 30°, respectively. Find the height of the poles and the distances of the point from the poles. 14. A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60°. After some time, the angle of elevation reduces to 30° (see Fig. 9.13). Find the distance traveled by the balloon during the interval. 15. A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30°, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60°. Find the time taken by the car to reach the foot of the tower from this point. 16. The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6 m.