Question

A ladder is 14 feet long is placed against a building the bottom of the ladder is 6 feet from the base of the building 6ft 14ft in feet how high up the side of the building is the top of the ladder round to the nearest tenth of a foot

Answer 1

12.6

Explanation:

I rounded to the nearest tenth of a foot like it said to :)

Answer 2

12.65

Explanation:

The ladder, ground and wall form a right triangle.

The hypotenuse (ladder) is 14 feet.

The bottom of the ladder is 6 feet from the wall,

so the base of this right triangle is 6 feet.

The top of the ladder to the ground represents

the missing leg of the right triangle.

The pythagorean theorem applies, which says

6^2 + h^2 = 14^2 where h is the height

of the top of the ladder to the ground

36 + h^2 = 196

h^2 = 196 - 36

h^2 = 160

h = sqrt(160)

= sqrt(16 * 10)

= sqrt(16)* sqrt(10)

= 4*sqrt(10) <--- exact answer

= 4 * 3.16227766016838....

= 12.64911....

12.65