If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Respuesta :

Answer:

12 ft

Step-by-step explanation:

The ladder forms a right triangle with the building and the ground, since the ground is perpendicular to the building

Therefore, we can use the Pythagorean theorem:

c2 = a2 + b2

From the information in the problem, c is 20 ft, b is 16 ft, and a is what we solve for:

(20 ft)2 = a2 + (16 ft)2

a = √((20 ft)2 - (16 ft)2) = 12 ft

Answer:

16.6

Step-by-step explanation:

somtimes you gotta pay attention to you're math teacher