(A) Let the wall be represented by $AC$ and the ground by $AB$,where $AC = 12\, m$ and $AB = 5\, m$.The ladder is represented by the hypotenuse $BC$ o

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(A) Let the wall be represented by $AC$ and the ground by $AB$,where $AC = 12\, m$ and $AB = 5\, m$.The ladder is represented by the hypotenuse $BC$ of the right-angled triangle $\triangle ABC$.According to the Pythagorean theorem,$BC^2 = AC^2 + AB^2$.$BC^2 = 12^2 + 5^2 = 144 + 25 = 169$.Therefore,$BC = \sqrt{169} = 13\, m$.Thus,the length of the ladder is $13\, m$.

Competitive Quantitative Aptitude Mensuration Measurement of Area

Easy

$A$ ladder is resting with one end in contact with the top of a wall of height $12\, m$ and the other end on the ground is at a distance $5\, m$ from the wall. The length of the ladder is.....$m$

A
$13$
B
$17$
C
$16$
D
None of these

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Measurement of Area

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In $\triangle ABC$,$\angle A = 90^{\circ}$ and $AD \perp BC$,where $D$ lies on $BC$. If $BC = 8 \ cm$ and $AC = 6 \ cm$,then the ratio of the area of $\triangle ABC$ to the area of $\triangle ACD$ is:

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$A$ ladder is resting with one end in contact with the top of a wall of height $12\, m$ and the other end on the ground is at a distance $5\, m$ from the wall. The length of the ladder is.....$m$

Similar Questions

The number of marble slabs of size $20\, cm \times 30\, cm$ required to pave the floor of a square room of side $3\, m$ is:

How many metres of cloth $5\, m$ wide will be required to make a conical tent,the radius of whose base is $7\, m$ and height is $24\, m ?$ (in $m$)

Find the area of a rhombus one of whose diagonals measures $10 \text{ cm}$ and the other $12 \text{ cm}$. (in $\text{cm}^2$)

$A$ park square in shape has a $3 \, m$ wide road inside it running along its sides. The area occupied by the road is $1764 \, m^{2}$. What is the perimeter along the outer edge of the road? (in $metres$)

In $\triangle ABC$,$\angle A = 90^{\circ}$ and $AD \perp BC$,where $D$ lies on $BC$. If $BC = 8 \ cm$ and $AC = 6 \ cm$,then the ratio of the area of $\triangle ABC$ to the area of $\triangle ACD$ is:

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