---------------------------------------------------------------------

--------------------------------------------------------------------- practical trigonometry heights and distanceA student sitting in a classroom sees a picture on the black board at a height of 1.5m from the horizontal level of sight. The angle of elevation of the picture is 30 degrees. as the picture is not clear to him he moves straight towards the black board and sees the picture at an angle of elevation 45 degrees. Find the distance moved by the student Let A = position of the picture C = original position of the boy M = new position of the boy from triangle ABC tan(30degree)=AB/BC 1/[sqrt(3)]=1.5/BC therefore BC=1.5*sqrt(3 ) m----------(1) from triangle ABMtan(45degree)=AB/BM 1 = 1.5/BM therefore BM = 1.5 m-----(2) from diagram CM =BC-BM = 1.5*sqrt(3
)-1.5 =1.5[sqrt(3)-1] =1.5[1.732-1]=1.5*0.732 =1.098 m Distance moved by the boy = 1.098 m --------------problem 2 A ladder leaning against a vertical wall makes an angle of 60 degrees with the ground. The foot of the ladder is 3.5 m away from the wall. Find the length of the ladder letAC = ladder AB = wall cos(60 degree) = BC / AC [1/2] = 3.5/AC AC = 3.5*2 = 7 m Length of the ladder 7m other questions and problems: * integral
calculus integration formula---------------------------------------------------------------------------------------------- trigonometric
identity and ratio of certain standard angles* list
of differentiation formula
*integral
calculus integration formula--------------------------------------------------------------------------------------- |

*

---------------------------------------------

---------------------------------------------

*

disclaimer:

There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work. Also some of the companies which are displaying

advertisements may install cookies on your computer and may be tracking your browsing habits.