a ladder 17 metre long reaches a Window 8 metre on one side of the road. the ladder is then turn over to the opposite side of the road and it found to reach another window 15 M height. find the width of the road
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it is quite easy, all you have to do is use pythagorean theorem here, which is
a²+b²=c². if you know how to use this formula everything is yours. so here the ladder's first position tells us that it basically leans on a wall to form a right angle triangle. so here the ladder is the hypotenuse(c) while the window is the perpendicular(a),while the road is the base(b).so we have to find the length of base here(road).now if you plug in the values correctly and solve it properly you would get the answer as 15 meters. now 15 isn't the width of the road as the ladder is in between the road(see the attached file to understand better). when the ladder is in position 2 the hypotenuse is 17 again as it is the ladders length while 15 is perpendicular(a) and base or road(b), say X as we have to find that out. after again plugging in values and solving you will get 8 meters. now add 8 meters and 15 meters to get 23 meters- this is the final and total width of the road.
feel free to ask any more doubts you have. :)
a²+b²=c². if you know how to use this formula everything is yours. so here the ladder's first position tells us that it basically leans on a wall to form a right angle triangle. so here the ladder is the hypotenuse(c) while the window is the perpendicular(a),while the road is the base(b).so we have to find the length of base here(road).now if you plug in the values correctly and solve it properly you would get the answer as 15 meters. now 15 isn't the width of the road as the ladder is in between the road(see the attached file to understand better). when the ladder is in position 2 the hypotenuse is 17 again as it is the ladders length while 15 is perpendicular(a) and base or road(b), say X as we have to find that out. after again plugging in values and solving you will get 8 meters. now add 8 meters and 15 meters to get 23 meters- this is the final and total width of the road.
feel free to ask any more doubts you have. :)
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so X= square root of 289-64= 15m
answer for 1st position
2nd position a= 15m
while b= X m and c=17 m(ladder length is same)
so 15^2 + X^2= 17^2
225+X^2=289
then X= square root of 289-225=8 m
answer for 2nd position is 8 m while for 1st is 15 m
so 1st position width + 2nd position width = 8+ 15
which is 23 meters and ur answer :)
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