A 13 foot long ramp rises 5 feet from the first floor to the second floor. What is the distance from the base of the ramp to the bottom of the first floor?

Respuesta :

Answer:

The answer to your question is  base = 12 feet

Step-by-step explanation:

Data

Length = 13 ft

height = 5 ft

base = ?

Formula

c² = a² + b²

Solve for b

b² = c² - a²

Substitution

b² = 13² - 5²

Simplification

b² = 169 - 25

b² = 144

b = [tex]\sqrt{144}[/tex]

Result the distance from the base to the bottom of the first floor is

b = 12 ft

The distance from the base of the ramp to the bottom of the first floor is 12 feet.

Distance:

Using Pythagorean theorem to find the distance from the base

c² = a² + b²

Let b represent the distance from the base  

b² = c² - a²

Substitute

b² = 13² - 5²

b² = 169 - 25

b² = √144

b = 12 feet

Inconclusion the distance from the base of the ramp to the bottom of the first floor is 12 feet.

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