Mathematics

Grade10

Easy

Question

# A ladder is leaned against a tree, the height on the tree is 12 units, the ladder is 5units away from the tree, what is the length of the ladder?

- 16
- 15
- 3
- 13

Hint:

### In this question, a ladder is leaned against a tree. The height of ladder on tree is 12 unit, and ladder is 5 unit away from the tree. We have to find the length of the ladder . It formed the right angled triangle . We have to find the hypotenuse for the length of ladder , use right angled triangle formula quadratic square root.

## The correct answer is: 13

### Here we have to find that the length of ladder.

Firstly , we have given that the height of ladder on tree is 12 unit and ladder away from tree is 5 unit.

So, Altitude = 12 unit and Base = 5 unit.

So the length of ladder = hypotenuse (Let x ) .

Here we have right angled triangle , we formula for hypotenuse is:

(Hypotenuse)^{2} = (Altitude)^{2 }+ (Base )^{2}

Taking square root on both the sides of the equation, we get

Since the length of the ladder cannot be negative, x= 13 units.

The correct answer is 13 unit.

In this question, we have ladder which is leaned on tree and that formed a right angled triangle. Just use the right angled triangle property and use quadratic square root formula to find the hypotenuse.