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Standard IX

Mathematics

Basics of Geometry

If the distan...

Question

If the distance between a 13-foot ladder and a vertical wall is $5$ feet along the ground, how high can a person climb if the ladder is inclined against wall?

18

feet

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65

feet

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\frac{13}{5}

feet

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8

feet

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12

feet

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Solution

The correct option is E $12$ feet
Length of Ladder = 13 ft
Length between Ladder and Wall = 5 ft
by pythagoras theorum
(hypotenuse)^2 = (perpendicular)^2 + (base)^2
(13)^2 = (height of wall)^2+(5)^2
by solving
Height of Wall = 12 ft

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If the distance between a 13-foot ladder and a vertical wall is 5 feet along the ground, how high can a person climb if the ladder is inclined against wall?

The correct option is E 12 feetLength of Ladder = 13 ftLength between Ladder and Wall = 5 ftby pythagoras theorum(hypotenuse)^2 = (perpendicular)^2 + (base)^2(13)^2 = (height of wall)^2+(5)^2by solvingHeight of Wall = 12 ft

If the distance between a 13-foot ladder and a vertical wall is $5$ feet along the ground, how high can a person climb if the ladder is inclined against wall?

The correct option is E $12$ feet
Length of Ladder = 13 ft
Length between Ladder and Wall = 5 ft
by pythagoras theorum
(hypotenuse)^2 = (perpendicular)^2 + (base)^2
(13)^2 = (height of wall)^2+(5)^2
by solving
Height of Wall = 12 ft