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If you place a 29-foot ladder against the top of a building and the bottom of the ladder is 24 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Respuesta :

Answer:

16.3

Step-by-step explanation:

The height of the building to the nearest tenth is 16. 3 ft

The situation forms a right triangle.

Properties of a right triangle:

  • One of its angles is 90 degrees
  • The sides can can be found using Pythagoras theorem.

The length of the ladder is the hypotenuse of the triangle formed.

The distance from the foot of the ladder to the bottom of the building is the adjacent sides.

Therefore,

c² = a² + b²

where

c = hypotenuse

a and b are the other two legs.

b² = 29² - 24²

b² = 841 - 576

b = √265

b = 16.2788205961

b = 16.3 ft

learn more on right angle here: https://brainly.com/question/23919428?referrer=searchResults

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