Question
The bottom of a ladder must be placed 5 ft. from a wall. The ladder is 12 feet long.
what is the distance in feet from the ground that the ladder reaches the wall? Round to the nearest tenth.
what is the distance in feet from the ground that the ladder reaches the wall? Round to the nearest tenth.
Answers
GPT 3.5
Using the Pythagorean theorem, we can solve for the height that the ladder reaches on the wall.
The ladder, the distance from the wall, and the height on the wall form a right triangle.
Using the formula: a^2 + b^2 = c^2, where c is the length of the ladder (12 ft).
Let a be the height on the wall and b be the distance from the wall.
We know that b is 5 ft and c is 12 ft.
a^2 + 5^2 = 12^2
a^2 + 25 = 144
a^2 = 144 - 25
a^2 = 119
a ≈ √119
a ≈ 10.91 ft
Therefore, the distance from the ground that the ladder reaches on the wall is approximately 10.91 feet.
The ladder, the distance from the wall, and the height on the wall form a right triangle.
Using the formula: a^2 + b^2 = c^2, where c is the length of the ladder (12 ft).
Let a be the height on the wall and b be the distance from the wall.
We know that b is 5 ft and c is 12 ft.
a^2 + 5^2 = 12^2
a^2 + 25 = 144
a^2 = 144 - 25
a^2 = 119
a ≈ √119
a ≈ 10.91 ft
Therefore, the distance from the ground that the ladder reaches on the wall is approximately 10.91 feet.