Question

A 24m long ladder reached a window 10m high from the ground. On placing it on a wall at a distance x. Find the distance of foot of the ladder from the wall​

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

(26)^2=x^2 + (24)^2

676-576=x^2

x^2=100

X=10m

Answer 2

Given:-

• Length of the ladder = 24 m
• Height of window = 10 m

To find:-

• The distance of the foot of the ladder from the wall.

Note:-

• Refer to the attachment for the figure

Solution:-

Here we can see that the scenario creates a right angled triangle with base x m, height 10 m and hypotenuse 24 m

By applying pythagoras theorem we can find the base.

We know,

According to Pythagoras Theorem,

• (Hypotenuse)² = (Base)² + (Height)²
• => (Base)² = (Hypotenuse)² - (Height)²

Putting the values:-

(x)² = (24)² - (10)²

=> x = √576 - 100

=> x = √476

=> x = 21.8

Hence The base of the triangle is 21.8 m.

Here,

Base of the triangle = Distance of ladder from the foot of the wall.

Hence,

Distance of ladder from the foot of the wall is 21.8 m.

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Extra Information!!

→ What does Pythagoras Theorem state?

✓ Pythagoras Theorem states that the square of the length of the biggest side (or hypotenuse) is always equal to the sum of the other two sides (height and base) of the triangle.

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