If you place a 39-foot ladder against the top of a building and the bottom of the
ladder is 33 feet from the bottom of the building, how tall is the building? Round to
the nearest tenth of a foot.

Respuesta :

Answer:

its 23.7 i just got it wrong and delta math said this was the answer!!

Step-by-step explanation:

The ladder and the top of the building form a right triangle

The building is 20.8 feet tall

`How to determine the height of the building?

The given parameters are:

  • Length of ladder, L = 39 feet
  • Horizontal distance (b) = 33 feet

The height (h) of the building is calculated using the following Pythagoras theorem

L^2 = b^2 + h^2

So, we have:

39^2 = 33^2 + h^2

Evaluate the exponent

1521 = 1089 + h^2

Rewrite as:

h^2 = 1521 - 1089

h^2 = 432

Take the square root of both sides

h = 20.8

Hence, the building is 20.8 feet tall

Read more about right triangles at:

brainly.com/question/2437195

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