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A cat is stuck in the tree and the fire department needs a ladder to rescue the cat. The
fire truck available has a 75-foot ladder, which starts 5 feet above ground.
Unfortunately, the fire truck must park 60 feet away from the tree. If the cat is 58 feet
up the tree, does the cat get rescued? If not, what ladder length is need to allow the cat
to be rescued?
O No because an 80-foot ladder is needed but the truck has only a 75-foot ladder.
No because an 81-foot ladder is needed but the truck has only a 75-foot ladder.
Yes because only a 58-foot ladder is needed and the truck has a 75-foot ladder.
Yes because only a 60-foot ladder is needed and the truck has a 75-foot ladder.

Respuesta :

Answer: I would say it's the last one.

Step-by-step explanation:

The cat will not be rescued because an 81-foot ladder is needed but the truck has only a 75-foot ladder.

The question forms a right angle triangle. where the height of the cat on the tree is the opposite side of the triangle. The distance between the cat and the tree is the adjacent side of the triangle .

Recall the 75 foot ladder can only start 5 foot above the ground .The diagram is represented below;

The ladder height should be the hypotenuse of the triangle.

using Pythagoras's theorem,

c² = a² + b²

c² = 53² + 60²

c² = 2809  + 3600

c² = 6409

c = √6409

c = 80.0562302385

c ≈ 80.06 ft

The cat will not get rescued with the 75 foot ladder length. The ladder length required to rescue the cat is approximately 81 ft ladder.  

read more: https://brainly.com/question/23013516?referrer=searchResults

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