This problem can be solved using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here, the ladder acts as the hypotenuse, the wall is one side of the triangle and the ground is the other side.

Given:
Height (h) = 3 m (distance from the ground to the top of the ladder)
Base (b) = 8 m (distance from the foot of the ladder to the wall)

We need to find the length of the ladder (L).

According to the Pythagorean theorem:

L² = h² + b²
L² = (3 m)² + (8 m)²
L² = 9 m² + 64 m²
L² = 73 m²

To find L, we take the square root of L²:

L = √73 m²
L ≈ 8.54 m

So, the length of the ladder is approximately 8.54 m, correct to three significant figures.

Question

This problem can be solved using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here, the ladder acts as the hypotenuse, the wall is one side of the triangle and the ground is the other side.

Given:
Height (h) = 3 m (distance from the ground to the top of the ladder)
Base (b) = 8 m (distance from the foot of the ladder to the wall)

We need to find the length of the ladder (L).

According to the Pythagorean theorem:

L² = h² + b²
L² = (3 m)² + (8 m)²
L² = 9 m² + 64 m²
L² = 73 m²

To find L, we take the square root of L²:

L = √73 m²
L ≈ 8.54 m

So, the length of the ladder is approximately 8.54 m, correct to three significant figures.

Knowee AI · Accepted Answer

This problem can be solved using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here, the ladder acts as the hypotenuse, the wall is one side of the triangle and the ground is the other side.

Given:
Height (h) = 3 m (distance from the ground to the top of the ladder)
Base (b) = 8 m (distance from the foot of the ladder to the wall)

We need to find the length of the ladder (L).

According to the Pythagorean theorem:

L² = h² + b²
L² = (3 m)² + (8 m)²
L² = 9 m² + 64 m²
L² = 73 m²

To find L, we take the square root of L²:

L = √73 m²
L ≈ 8.54 m

So, the length of the ladder is approximately 8.54 m, correct to three significant figures.

A ladder lies against the wall. The top of the ladder is 3 m above the ground. If the foot of the ladder is 8 m away from the wall, how long is the ladder? Give non-exact numerical answers correct to 3 significant figures.

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