Question

A ladder 17m long reaches a window which is 8m above the ground, on side of the street. Keeping it foot at the same point the ladder is turned to other side of the street to reach a roof at the height of 15m. Find the width of the street.
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Answer 1

Answer:

width of the street is 8m

Answer 2

Answer:

FOLLOW THE STEP GIVEN BELOW AND THE DIAGRAM IS ALSO GIVEN BELOW

Step-by-step explanation:

BD is the length of street= BP+DP

AB is the height of the window from ground= 8m

CD is the height of the roof from the ground= 15m

AP and CP are length of ladder = 17m

In Δ ABP,

   AB²+BP²= AP² (PYTHAGOREAN THEOREM)

⇒8²+BP²=17²

⇒BP²=17²-8²

⇒BP²=289-64

⇒BP=√225

⇒BP=15m

In Δ CDP,

   CD²+DP²=CP²

⇒15²+DP²=17²

⇒DP²=17²-15²

⇒DP²=289-225

⇒DP=√64

⇒DP=8m

Length of street =BP+DP

                           =8m+15m

                           =23m     {ANSWER}