Revision Notes for ICSE Class 10 Math Chapter 22 - Free PDF Download
FAQs on ICSE Class 10 Mathematics Revision Notes Chapter 22 - Heights and Distances
1. According to ICSE Class 10 Maths Chapter 22, what is the difference between Angle of Elevation and Angle of Depression?
As you can see, the angle of elevation is opposite the angle of depression. The elevation is defined as the angle between the line of sight and the horizontal line. The angle formed by the line of sight and a horizontal line is known as the angle of elevation. At an angle of depression, however, the line of sight is downwards to the horizontal line. Example- The angle of elevation is the angle between the horizontal line of sight and an object when someone stands and looks up at it. An angle of depression is determined by looking downward at an object while standing.
2. According to ICSE Class 10 Maths Chapter 22, what is the Angle of Elevation Formula?
Since this is the most asked question in the exam and all the numerical are also based on this formula, students always look for the accurate answer.
So, to determine the angle of elevation, you need to know the opposite side, hypotenuse, and adjacent side of the right angle. The formula for the angle of elevation is given by the formula for the distance from the object and the height of the object.
The angle of elevation angle = height/distance from the target
3. Following the concepts of ICSE Class 10 Maths Chapter 22, solve this
Consider a height of 1.5 m for PQ.
A tower with a height of 22 meters is AB.
The horizontal distance between the tower and the observer is QB
, then PQ = MB = 1.5 meter
AB - MB = AM
Therefore AM = 22 - 1.5 = 20.5
In the ∆APM
=> note: tan θ = AM / PM
tan θ = 20.5 / 20.5
tan θ = 1
The solution to this equation is tan-1(1 ).
Therefore, θ = 45°
Accordingly, the top of the tower is 45 degrees above the observer's eye
4. According to ICSE Class 10 Maths Chapter 22, what is the relation between height and distance?
A height measure indicates an object's height in the vertical direction, while a distance measure indicates the distance separating an object from a particular point in the horizontal direction. If we imagine connecting the observation point to the topmost point of the object, we will have a triangle formed by the horizontal line, vertical line, an imaginary line.
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Assume that the observer is located at point C. Line AB shows the height of the object. Line BC indicates the distance between the observer and the object. This line is not necessarily parallel with the ground. AC represents the Line of Sight when the observer is observing the topmost point of an object. Angle α represents the angle of elevation, while Angle β represents the angle of depression.
5. According to ICSE Class 10 Maths Chapter 22, what does height mean? How do you find the height of objects in Maths?
Generally, height refers to altitude or elevation that is measured above a base level. In addition, height refers to any distance measured above a given level (e.g., from the ground to the top of the head). An example would be the height of a tree, a human being, a mountain, or a tower. Mathematically, you can calculate the height of an object by calculating its distance and angle. In this case, distance is the horizontal distance between the objects, and angle is the angle above the horizontal of the top of the objects, which gives height to the objects.
