Question

6.a ladder 10 metre long reaches a window which is 8 metre above the ground on one side of the road keeping its food at the same point, the ladder is turned to the other side of the road to reach a window of 6 metre height what is the width of the roads.?

Answer 1

Length of ladder = 10 m ( hypotenuse )

Length of window from ground = 8 m ( perpendicular height )

Length of smallest point of building to ladder = b ( base )

We will solve this through Pythagoras' Theorem

Hypotenuse² = Base² + Height²

10² = b² + 8²

b² = 10² - 8²

b² = 100 - 64

b² = 36

b = √36

b = 6

Therefore, the distance of smallest point of building to the ladder is 6 meters.