The length of a ladder exactly equals the hei | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the height of the wall be $h$ feet. The length of the ladder is also $h$ feet.When the ladder is placed on a $2$-feet tall stool at a distance

Vedclass · Accepted Answer

$26$

Vedclass · Answer

(B) Let the height of the wall be $h$ feet. The length of the ladder is also $h$ feet.When the ladder is placed on a $2$-feet tall stool at a distance of $10$ feet from the wall,the vertical height covered by the ladder against the wall is $(h - 2)$ feet.This forms a right-angled triangle where the base is $10$ feet,the perpendicular height is $(h - 2)$ feet,and the hypotenuse (the ladder) is $h$ feet.According to the Pythagorean theorem: $h^2 = 10^2 + (h - 2)^2$.$h^2 = 100 + (h^2 - 4h + 4)$.$h^2 = 100 + h^2 - 4h + 4$.Subtracting $h^2$ from both sides: $0 = 104 - 4h$.$4h = 104$.$h = 26$ feet.Thus,the height of the wall is $26$ feet.

The length of a ladder exactly equals the height of a wall. If the ladder is placed on a $2$-feet tall stool placed $10$ feet away from the wall,its tip just touches the top of the wall. The height of the wall in feet is

Similar Questions

The perimeters of a circle,a square,and an equilateral triangle are the same,and their areas are $C$,$S$,and $T$ respectively. Which of the following statements is true?

What is the radius of a circle,to the nearest $cm$,whose area is equal to the sum of the areas of the three circles of radii $22\, cm$,$19\, cm$,and $8\, cm$ respectively? (in $cm$)

If a square is inscribed in a circle,the ratio of the area of the circle and the square is

The ratio between the areas of two circles is $4: 7.$ What will be the ratio of their radii?

The circumference of a circle is $176\, m$. Then,its area is

Vedclass Test Series

Exam Paper Generator

Online Exam Module