the ladder is placed against a wall at height of 8 feet if the base of the latter is 15 feet from the base of the wall find the length of the ladder
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Answer:
17 feet
Step-by-step explanation:
The ladder is placed on a wall, at a height of 8 feet. If the base of the ladder is 15feet from the base of the wall find the length of the wall.
Notice that, since the ladder is placed diagonally it forms a triangle (we can say it is placed diagonally as, if it was placed vertically, then there would be no distance between the ladder and the wall)
By using Pythagoras theorem,
(base)² + (height)² = (hypotenuse)² (here ladder is the hypotenuse)
8²+15² = ladder²
64+225 = ladder² = 289
ladder = √289
ladder = 17feet
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