Question

a ladder 50dm long when set against the wall of a house just reaches a window at a height of 48dm How far is the lower end of the ladder from a base of the wall
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Answer 1

Answer:

14dm

Step-by-step explanation:

1. Since window is perpendicular to base of wall.. So angle=90

2.by using Pythagoras theorem

Sq of height of ladder=sq of height of window or wall +sq of distance of base

3.therefore by solving we get...

Distance between ladder and wall=14dm

Answer 2

The lower end of the ladder is 14 dm far from a base of the wall.

Explanation:

Given : A  ladder 50dm long when set against the wall of a house just reaches a window at a height of 48dm.

Since the wall stands vertical on ground , so the angle between wall and ground should be a right angle.

On addition to ladder , it becomes right-angled triangle , where ladder is the hypotenuse.

Let x be the distance of the lower end of the ladder from a base of the wall

According to Pythagoras theorem , we have

$(50)^2=x^2+(48)^2\\\\ 2500=x^2+2304\\\\ x^2=2500-2304=196\\\\ x=\sqrt{196}=14$

Hence, the lower end of the ladder is 14 dm far from a base of the wall.

# Learn more :

A ladder 25 m long .When set against the wall of a house just reaches a window at a height of 24m. How for is the lower end of the ladder from the base of the wall?

https://brainly.in/question/7342800