A 19 1/2 -foot ladder leans against a building. The base of the ladder is 7 1/2
ft from the building. How high up the building does the ladder reach?

Respuesta :

Answer:

18 feet

Step-by-step explanation:

you use the pythagoras theorem to solve this. we know the base is 7.5 or 14/2 and the hypotneus is 19.5

a^2 + b^2 = C^2

7.5^2 + b^2 = 19.5^2

b^2 = 19.5^2 - 7.5^2; b = [tex]\sqrt{19.5^{2} -7.5^2} = 18[/tex]

b = 18