Question

A ladder is placed against a wall such that its foot is at distance of 5 m from the wall and its top reaches a window 5√3 m above the ground . find the length of the ladder

Answer 1

hope it helps you....

Answer 2

Answer:

The length of the ladder is 10m.

Step-by-step explanation:

Given: The distance of ladder from the wall= 5m.

          Height of window= 5√3 m.

To find: The length of the ladder.

Solution: A ladder is placed against a wall.

Its distance from wall is 5 m means base length.

height of the window from the ground is 5√3 m and to find the length of the ladder means the hypotenuse.

Consider the right angled triangle ΔABC.

We apply Pythagoras property.

Let AB =5m be base of triangle, BC= 5√3m be the height , and AC =? be the hypotenuse.

AB² +BC² =AC²

5² + (5√3)² = AC²

25 + (25×3) = AC²

AC² = 25 + 75 = 100

AC = √100 = 10

Therefore the length of the ladder is 10m.

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