 Hello and welcome to the session. I am Deepika here. Let's discuss the question which says the statue 1.6 meter tall stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60 degree and from the same point the angle of elevation of the top of the pedestal is 45 degree. Find the height of the pedestal. Now we know that the angle of elevation of an object viewed is the angle formed by the line of sight with the horizontal when it is above the horizontal level that is the case when we raise our head to look at the object. So let's start the solution. First draw a simple diagram to represent our problem. Now in this diagram T.E. represents a statue which is 1.6 meter tall and T.E. represents a pedestal. Now the angle of elevation of P from R is 60 degree and angle of elevation of T from R is 45 degree. Let the height of the pedestal is h meter that is we have given angle T.R.Q is 45 degree. Now in right angle R.Q we have Q.T is equal to h meter and angle T.R.Q is equal to 45 degree. Now we want to find R.Q we will use a trigonometric ratio as 1045 degree or potential 45 degree because as this ratio involves both Q.T and R.Q T upon R.Q is equal to 1045 degree this implies h upon R.Q is equal to 1 as 1045 degree is 1. So this implies R.Q is also h meter. Again in right angle P.R.Q we have P.R.Q is 60 degree P.Q is equal to 1.6 meter plus h meter now we want to find R.Q so we have P.Q upon R.Q is equal to 1060 degree now P.Q is 1.6 plus h R.Q is also h meter this is equal to under R.Q as 1060 degree is R.Q on cross multiplication we have 1.6 plus h is equal to h R.Q or 1.6 is equal to h R.Q minus h again this is equal to 1.6 is equal to h into root 3 minus 1 therefore h is equal to 1.6 upon root 3 minus 1 now multiply the numerator and denominator by root 3 plus 1 because we want to rationalize our denominator so h is equal to 1.6 into root 3 plus 1 upon root 3 minus 1 into root 3 plus 1 and this is equal to 1.6 into root 3 plus 1 over 3 minus 1 and this is again equal to 1.6 into root 3 plus 1 upon 2 now on cancellation we have h is equal to 0.8 into root 3 plus 1 meter hence the height of the pedestal is 0.8 into under root 3 plus 1 meter hence the answer for the above question is 0.8 into under root 3 plus 1 meter I hope the solution is clear to you bye and check you