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RS Aggarwal Class 10 Solutions - Height and Distances

RS Aggarwal Solutions

RS Aggarwal Class 10 Solutions - Height and Distances

Last updated date: 23rd Apr 2024

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Height and Distances Solutions for RS Aggarwal Class 10 Chapter 14

From the size of the room you stay in to the height of a friend or a relative, you will know it. The concepts of Height and Distance are introduced to us in a different way, and they should be discussed and explained. It has its origins in the history of science. The Romans were using some ways of measuring height by using rods.

In the olden times, people used to measure the height of an elephant using an arm as the reference point. The other example is using a pole to measure the distance or the height between two buildings. It is quite hard to prove but the Romans used sticks as a measure for distances.

The method of using sticks to measure the length or distance is not very accurate. If a person uses the hand to measure the width of the room, he is bound to make a mistake and take that measurement of a smaller room. The stick must be of the same height and width as the room. The stick should not be too big or too small. It should be just right.

On the other hand, if the person is measuring the height of a person from the ground or the top of the building using the same stick that was used to measure the width of the room, there is no doubt that the person will get the right measurement, which may be in the same way the Romans used sticks to measure distance.

But the stick was not used to measure distance, they were used to measure the height of the elephants. Similarly, in the Roman Empire, the height of an elephant was measured using a rod.

We all have a concept of distance. We may not think it very much, but when we walk around in the place that we are staying, we know exactly how far it is to the house, the shop or our office. So, using sticks to measure distance is nothing but a simple example of the ancient way of measurement.

You may ask that how we have to convert the rod into the inches or centimeters,

This chapter deals with the mathematical methods and techniques for finding the heights of the rectangular prism and rectangular trapezoid by using Pythagoras' theorem.

Class 10 RS Aggarwal Solutions - Height and Distances

In this chapter, we will learn how to solve questions related to the heights of the rectangular prism and the rectangular trapezoid using Pythagoras’ theorem. Both the prisms and trapezoids are considered rectangular in this chapter, which means they are rectangles or rectangle-shaped solids. They are made of right rectangularly aligned rows of points of various lengths.

In other words, these objects are made up of right-aligned straight-sided right-angled parallel rows of parallel straight-sided right-angled parallel straight-sided rows of parallel straight-sided right-angled parallel straight-sided... (with the appropriate lengths).... These rows of points form a rectangle.

Here, the term “rectangularity” is used to describe a rectangular prism or trapezoid. Both the prisms and trapezoids are considered “rectangular” in the sense that they are rectangles or rectangle-shaped solids. These solids are made up of right rectangularly aligned rows of parallel straight-sided right-angled parallel straight-sided right-angled... (with the appropriate lengths).... These rows of points form a rectangle.

The mathematical tools used in the study of heights and distances are of two kinds: those involved with the study of triangles and those involved with the study of rectangles. The simplest method for obtaining the height of a triangle is to find the length of the base and the height and then to use the Pythagoras' theorem.

The problem with this method is that it is not always possible to find the length of the base. An alternative method is to calculate the area of the triangle and then to use the formula.

Another method for finding the height of a triangle is by applying the parallel postulate to the right-angled triangle.

One of the methods for finding the height of a rectangle is to find the length of the base and the area. Another method is to find the area of the rectangle and then to find the difference between the lengths of the sides of the rectangle.

Pythagoras' Theorem:

The height of a triangle is given by Area of the triangle : c . h . d

Where

c = the length of the hypotenuse

d = the length of the leg

h = the height of the triangle.

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We all are obsessed with our heights; there is no denying in this fact. We all want to be tall to look handsome, but have you ever paid attention to the height and how we get to find out our heights? With RS Aggarwal Solutions Class 10 Chapter 14, you will know how the concept of height was formed and how we can use it in different ways to determine various objects' measurements. A lot of times, we measure the height of the object to check if it's going to fit in the box or not. On the other hand, in RS Aggarwal Class 10 Chapter 14 you will also study the distance you have heard a lot of times and have a little knowledge of it. But in Height and Distance Class 10 RS Aggarwal Solutions, you will solve several questions that will help you understand these two concepts from the core. Register Online for Class 10 Science tuition on Vedantu.com to score more marks in CBSE board examination. Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students.

FAQs on RS Aggarwal Class 10 Solutions - Height and Distances

1. What is the Difference Between Height and Distance?

There's a lot of debate that focuses on finding the difference between height and distance, but many mathematicians say height and distance are the same things. Given below, we have pointed out some of the difference, which clearly shows that these two terms are not the same.

First, height is also a type of distance but it's a distance from the base of something to the top. You can even say height as how high an object is from the ground or the bottom. On the other hand, distance is the amount of space present between the two things that can be represented geographically. The distance between the two objects can be linear, or sometimes non-linear depending on the path you followed. The distance can be physical, or it can be metaphorical also. Such as ten years of distance between two siblings.

2. Why is Finding Out the Height of an Object Essential?

Finding out the height of an object can help you in lots of ways. For example, if you have a massive item like a car you are transporting from one place to the other you need to know its height so that you learn from which underbridge it can easily pass and which ones need to be avoided during the transportation. Height plays a vital role in nature if you have the right height, you can see the stage while standing quite far from it at a concert. On the other hand, measuring height is relatively easy once you know the basics, you can find the height of almost every object around you. Also, there are several measuring methods of height. When you are jumping from a higher plane to the lower ground, you try to find out the approximate height of the higher plain, so you know if the jump is possible or not.

3. Why Must Students Know How to Calculate the Distance Between Objects?

A student needs to know about different methods of calculating distance because the distance is one of the crucial measurements which is going to stick with them throughout life. Human civilization has come up with a method to find out the space between two objects, cities, places, etc. and named its distance. As a result, if you are going to your grandparents' place in the summer holidays, your father checks the distance and the amount of petrol present in the car before starting the journey. To make the travel smooth and hassle-free.

4. Where can I find the solutions of class 10 chapter 13 Constructions ?

Class 10 chapter 14 Heights and Distances is a very important chapter which has the basics of trigonometry. In this chapter students get to know the analysis or in simple words the use of trigonometry in real life situations. Vedantu provides detailed solutions to the students which helps them to understand better and minimize making mistakes in their examination.

5. What are the suggested readings for class 10 chapter 14 Heights and Distances?

Class tenth students have to put in adequate efforts to pass with good grades in their boards. For the same, they'll have to refer to various books as solving different types of problems helps them in gaining more conceptual knowledge. A few suggested readings are NCERT textbook, RS Agarwal, RD Sharma which cover plenty of sums.

6. Where can I find notes of class 10 chapter 14 Heights and Distances?

Class 10 chapter 14 Heights and Distances is a very important chapter which has the basics of trigonometry. In this chapter students get to know the analysis or in simple words the use of trigonometry in real life situations. Vedantu provides detailed notes to the students which helps them to understand better and minimize making mistakes in their examination.

7. Is class 10 mathematics tough ?

Class 10 is a crucial stage in every student's life. Everyone needs to be prepared for the board exams beforehand. Mathematics is one such subject where many students worry due to lack of practice and clarity in the subject. Mathematics in class sums up the secondary mathematics learnt from class 6 , therefore it would not be difficult provided students give sufficient time and practice.

8. How to score well in mathematics?

Mathematics isn’t a subject that can be memorized, whereas it is one such subject that requires conceptual understanding to solve problems and score well in exams. Solving different types of problems in the same concept would benefit students at a later date. Practice daily and for detailed notes, keywords that’ll be handy, students can join us at Vedantu app for live doubt clarification session.