you are climbing a ladder which is slanted at an angle of 4545 in degrees anti clockwise direction with respect to the ground.the ladder leaning against the wall at a vertical distance to f 1 meter from ground.if you are at location which cuts the ladder in the ratio 2:12:1 from top to bottom,what are the co ordinates of your location? assume origin (0'0)(0'0) to be at intersection of ladder and the ground
Answers
Given : A Ladder which is slanted at an angle of 45° anti clockwise direction with respect to the ground leaning against the wall at a vertical distance of 1 meter from ground
you are at location which cuts the ladder in the ratio 2:1 rom top to bottom
origin (0, 0) be at intersection of ladder and the ground
To Find : co ordinates of your location
Solution:
A Ladder which is slanted at an angle of 45° anti clockwise direction with respect to the ground
=> slope is tan45° = 1
origin (0 , 0) is ladder intersection
Hence y = x is equation of ladder
vertical distance to f 1 meter from ground => y = 1
Hence x = 1
Top point of Ladder is ( 1,1)
location cuts the ladder in the ratio 2:1 from top to bottom
Top ( 1, 1 ) and bottom (0 , 0)
Ratio 2 : 1
=> co ordinates of location = ( 2 * 0 + 1 * 1)/(2 + 1 ) , ( 2 * 0 + 1 * 1)/(2 + 1 )
= 1/3 , 1/3
co ordinates of your location ( 1/3 , 1/3)
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