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Mama L [17]
3 years ago
8

The base of 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall (round to the nearest foot)

Mathematics
1 answer:
Nina [5.8K]3 years ago
5 0

Given:

The base of 40-foot ladder is 8 feet from the wall.

To find:

How high is the ladder on the wall (round to the nearest foot).

Solution:

Ladder makes a right angle triangle with wall and ground.

We have,

Length of ladder (hypotenuse)= 40 foot

Base = 8 foot

We need to find the perpendicular to get the height of the ladder on the wall.

Let h be the height of the ladder on the wall.

According to the Pythagoras theorem,

Hypotenuse^2=Base^2+Perpendicular^2

(40)^2=(8)^2+(h)^2

1600=64+h^2

1600-64=h^2

1536=h^2

Taking square root on both sides.

\pm \sqrt{1536}=h

\pm 39.1918358=h

Height cannot be negative. Round to the nearest foot.

h\approx 39

Therefore, the height of the ladder on the wall is 39 foot.

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