Question

A fire and rescue squad places a 5 ft ladder against a burning building. If the ladder is 4 ft from the base of the building, how far up the building will the ladder reach?​

Answer 1

Answer:

This is a case of the pythagorean theorem.

A^2 + B^2 = C^2

Where A, B, and C are sides of the triangle and C is the hypotenuse.

We already know the hypotenuse, the length of the ladder, and one other side. Lets call the missing side B and then find the value.

B^2 = C^2 — A^2

B^2 = 15^2 — 9^2

B^2 = 225 — 81

B^2 = 144

Take the square root of both sides and we get

B=12

So the ladder reaches 12 feet up the building.

Step-by-step explanation:

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