a ladder 17m long reaches a window 8 m high on one side of the road. the ladder is then turned over to opposite side of the road and is found to reach another window 15 m high. find the width of the road
please tell me fast
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Answer:
23m
Step-by-step explanation:
road is perpendicular to windows
so, AC^2=AB^2 + BC^2
=>BC^2 = AC^2 - AB^2
BC^2 = 17^2 - 8^2
BC^2 = 289-64
BC = √225
BC = 15
also,
CE^2=ED^2+CD^2
CD=√(CE^2-ED^2)
CD=√(17^2-15^2)
CD=√(289-225)
CD=√64
CD=8
width of road = BC+CD=15+8=23m
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