HEIGHTS AND DISTANCES AND THE APPLICATIONS OF TRIGONOMETRY

-
Measuring heights and distances using trigonometry.

Trigonometry is also used for finding the heights and distances of various objects, without actually measuring them.

To find the distance or height of any object or building etc., you have to calculate the angle of elevation/depression and calculate the distance/height using trigonometric ratios.

Some important expressions to keep in mind while solving the above problem of height and distance given below:
  • Line of sight: It is the line drawn from the eye of an observer to the point in the object viewed by the observer.
  • Angle of elevation: This is the angle formed by the line of sight with the horizontal when it is above the horizontal level, i.e., the case when we raise our head to look at the object.
  • Angle of depression: The angle formed by the line of sight with the horizontal when it is below the horizontal level, i.e., the case when we lower our head to look at the object. 


HEIGHTS AND DISTANCES AND THE APPLICATIONS OF TRIGONOMETRY




HEIGHTS AND DISTANCES AND THE APPLICATIONS OF TRIGONOMETRY



Trigonometric ratios of different angles used for calculating the problem of height and distance is given as folows:



Trigonometric ratios of different angles

Comments

Post a Comment

Popular posts from this blog

DOT PUZZLE ( CONNECT ALL THE DOTS WITHOUT LIFTING THE PEN AND WITH ONLY FOUR STRAIGHT LINES WITHOUT ANY OVERLAP )

-
Image
Here we would solve a dot puzzle Consider the figure below Connect all the dots without lifting the pen with only 4 straight lines and the lines do not overlap. Here are some examples already done for you but not been solved because some dots left to be crossed. You could see that some dots have been left to be crossed by the line. So do you think you could solve it. Let us try one more time. Now, what do you see, the puzzle has been solved with the required conditions. Find out some more solutions to this question.
Read more

EULER TRAIL PUZZLE

-
Image
What is an Euler trail ? An Euler trail ( Euler path ) is a trail in a finite graph which visits every edge exactly once. An Euler trail is a walk on the edges of a graph which uses each edge exactly once. Euler trail is also called an Euler chain , Euler walk , Euler path . Here is the puzzle as you could see in the picture. Your job is to cross each line exactly once without lifting your pen.  In the following figure consider every marked line as a single line and each must be crossed once without lifting you pen. Here are some examples already done, but in each case, one line is left ( marked red ) to be crossed . See the figures. Have you got the solution ? well, this is impossible to do however hard you try.  Explanation Consider the figure below and find the numbers of line reaching the centre of each box. In the figure you could see that there are three centre points with odd number o...
Read more