5. A painter props a ladder against a house. The base of the ladder is 12 fect from the house. The top of the ladder is 16 feet from the ground. How long is the ladder? a. 10 feet b. 14 feet . 20 feet d. 28 feet​

Respuesta :

Answer:

C - 20 feet

Step-by-step explanation:

Use Trigonometry

a^2 + b^2 = c^2

Visualise this as a triangle. The height of the triangle is 16 feet and the base of the triangle is 12 feet. All we need to find is the slant height (which is the ladder).

16^2 + 12^2 = c^2

c = [tex]\sqrt{400}[/tex]

c = 20