The base of a 40 foot ladder is 8 feet from the wall how high is the ladder on the wall

Therefore, height of the wall at which the ladder is placed is AB = 39.12 foot.

Step-by-step explanation:

Let,

AB = height of the wall at which the ladder is placed

AC = height of the ladder = 40 foot

BC = distance from the wall to the base of the ladder = 8 feet

To Find:

AB = height of the wall at which the ladder is placed = ?

Solution:

Consider a right angled triangle Δ ABC right angle at angle B,

So by Pythagoras theorem we have

AC² = AB² + BC²

Substituting the given values in above equation we get

40² = AB² + 8²

∴ AB² = 40² - 8²

∴ AB² = 1536

Therefore, height of the wall at which the ladder is placed is AB = 39.12 foot.

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step-by-step explanation:

the answer is 489

step-by-step explanation: