CASE STUDY QUESTION CLASS 10

                                                       

                                                                     TRIANGLE

                                                               QUESTION = 1

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground. The height of unbroken part is 15m and the distance between the foot of the tree and the top of the tree on the ground is 20m. Use the Pythagoras theorem and answer the following question.

1.      What is the length of the broken part of the tree?

2.      What was the height of full tree?

3.      Draw a rough diagram using the above data and find the length of hypotenuse?

4.      Find the area of the triangle

                                                               QUESTION - 2

Laws of reflection says

The angle of incidence = Angle of reflection. Raju places a mirror on the level ground to determine the height of pole so he stands at a certain distance to see the reflection of top of the pole in mirror. The eye level of Raju’s eye above the ground is 1.2m and distance of mirror from the foot of pole and Raju is 6m and 1.6m respectively, on the basis of the above information,

1.      Find the height of pole.

2.       Which criterion of similarity is applicable to similar triangles? (a) SSA (b) ASA (c) SSS (d) AA

3.      If AB is the height of the pole and mirror is placed at point C such that <ACB = 30⁰ then find the angle subtended between point C and Raju’s eye.

4.      If Raju’s height is denoted by DE and <DCE = α then find Sinα                            

                                                    QUESTION = 3

An airplane leaves from the airport A and flies due west to a point B at a speed of 2100km/hr. At the same time, another airplane from the same airport flies due south at a speed of 2800km/hr. and reaches to point C. Draw a diagram from the above information and on the basis of above information answer the following questions 

-1. How far apart will be the two planes after 1 hour.

2. Name the theorem that you used to find the distance.

3. Suppose the plane moves east at a speed of 1200km/h and due north at a speed of 1600 km/h then what will be the distance between the planes after two and half hours. 

INDIAN MATHS QUIZ - DAY 14 BY DR RAJESH THAKUR

 DEAR ALL

This is the 14th day of Indian Maths quiz. Thanks a lot for your support. In the last 14 days, around 20,000 have participated in this quiz. I am thankful to all of you.

Friends, this is the last day of the quiz. Hope you have learnt something about Indian History of Mathematics. In December 2020, I am planning to organize another quiz on the life of Srinivasa Ramanujan. This quiz will last for 15 days.

So keep reading about Srinivasa Ramanujan. 

Don't forget to circulate this information to your near and dear one. I hope you will love the coming series.

Today being the last day of the quiz , I need your double support so please let others participate. Share this information in your friends' circle, whatsapp group, students and prove your worth.

                                                 LINK OF FINAL DAY OF QUIZ

DR RAJES KUMAR THAKUR

INDIAN MATHS QUIZ DAY - 13 BY DR R K THAKUR

Hello friends,

Thanks for playing the quiz. I hope you have learnt something about Indian History of Mathematics. 

Indian History of Maths is very vast, so keep reading and enjoying it.

Please circulate this among your students, friends to have maximum participation.

LINK OF DAY - 13 

Indian Maths Quiz Day 12 - by DR R K Thakur

 Dear Friends

This is the 12th day of quiz on Indian History of Mathematics. Your comments is overwhelming me. I am thankful to all your support. Please circulate it among your friends, students to have maximum participation. Don't forget to put your comments here. Please don't put the comments in the Google Form. Your comments posted here is available for others to read. 

In the last two days, the number of participants are decreasing. The number of participants are now 50% of first 7 days. This trend is making me feel sad. 

Your constant support is essentials for running this quiz for next few days. Please click the link below to answer the quiz.

Link of 12th day Quiz 

Thanks a lot

Dr Rajesh Kumar Thakur

Quiz Day 8 will run today

 Hello Friends,

Happy Diwali to all of you

2 days ago, I have posted the message in social media about no quiz on Sunday. Due to Diwali, as expected only 23 have so far responded. So, Day 9 quiz will open tomorrow. Please, bear with us. 

Please circulate it among your friends, students to have maximum participation. Don't forget to put your comments here. Please don't put the comments in the Google Form. Your comments posted here is available for others to read. 

I am overwhelmed to get over 13k entries in 7 days. Keep learning by playing the Indian Maths Quiz. 

On account of Diwali, the link of  Indian Maths Quiz Day - 8 will remain open on Saturday and Sunday.

Keep circulating among your friends to have maximum participation,

Here is the link of Day -8

Click here for Quiz Day - 8

Indian Maths Quiz Day 11 (18 Nov 2020) by Dr Rajesh Thakur

 Dear Friends

The quiz will be over on 21st November 2020.

Happy to note ANDHRA PRADESH has actively participated in this quiz for the first time with 20% of total respondent.

RAMANUJAN QUIZ PART -2 WILL BE STARTED FROM 1ST DECEMBER TO 15TH DECEMBER. PLEASE CIRCULATE THE MESSAGE IN WHATSAPP GROUP/ SOCIAL MEDIA TO HAVE MAXIMUM PARTICIPATION ACROSS COUNTRY.

Thanks a lot.

Play the quiz. Unearth the beautiful history of mathematics. Don't forget to circulate among your friends.

Link of Quiz Day 11

Regards

Dr Rajesh Thakur

Indian Maths Quiz Day (17-11-2020)- 10 by Dr R K Thakur

 Hello Friends

I am happy to see your dedication. I get more than 1500 entries daily. This is your love that made me to extend the quiz series.

Please circulate this quiz series to your near and dear one. On the 2nd  consecutive day, Jammu- Kashmir has maximum entries. A big thanks to the students and teachers from Jammu and Kashmir for showing interest in the quiz.

Friends, the aim of organizing such quiz is to let you know about the historical facts of Indian mathematics. I hope you will love to know these facts. 

Simply answer 6 questions and get the answer at the end. You can attempt number of times as the one response from one email restriction has been removed.

Here is the link of quiz                                    

Link of Quiz Day - 10

Keep circulating the blog link to your friends.

Thanks 

Dr Rajesh Thakur