What is Height and Distance ?
Definition: Finding measurement of any object from a certain point is called Distance and the vertical distance of an object is called Height.
Sometimes we need to find out the height of a building, width of a sea, height of a tree etc. But these measurements are very tough to measure by any physical devices. You need trigonometric formulas to measure them with ease.
Suppose, we want to measure the height of a tree. We will not measure this by any devices. We use trigonometric formulas for this. Here comes two very important things of measuring heights, One is Angle of Elevation and other is Angle of Depression.
Assume that the man in the above picture is looking at the top of the tree. His eye level is “D”. Now as he look above his eye level here creates an angle (ox). This angle is called Angle of Elevation.
Similarly, when the man looking at the bottom at the tree, there also creates an angle. But now at the opposite side (oy). This angle is called Angle of Depression.
So, How we can find the height of a tree. The formula for this is-
Height = tan Θ X Distance between eye and tree
So, If we want to find the height of the tree we need to find out two things. One is “A” and another is “B”.
So, Height of the tree is: A + B
θ | 0O | 30O (π/6) | 45O (π/4) | 60O (π/3) | 90O (π/2) |
Sin θ | 0 | 1/2 | 1/√2 | √3/2 | 1 |
Cos θ | 1 | √3/2 | 1/√2 | 1/2 | 0 |
Tan θ | 0 | 1/√3 | 1 | √3 | Not Defined |
So, that’s all about basics of Height and Distance. Now if you have any questions on this topic then please let us know about that. We will discuss your thoughts here in www.AptitudeTricks.com. You can comment your questions and thoughts in the comment section below. We will get back to it as soon as possible.
Quantitative Aptitude – Area One of the most important chapter on quantitative aptitude is Area.…
Quantitative Aptitude – Volume and Surface Area In quantitative aptitude, one of the most important…
Quantitative Aptitude – Compound Interest Preparation for competitive exam will not completed without the learning…
Quantitative Aptitude – Time and Distance A very important and very common topic in every…
Quantitative Aptitude – Alligation or Mixture Alligation or Mixture is an important chapter for competitive…
Quantitative Aptitude – Time and Work Time and Work questions are very common and very…