A15- foot ladder is leaning against a 30- foot wall. The bottom end of the ladder is 9 feet from the wall. How many feet above the ground does the ladder touch the wall.
Can someone please help me with this question
If you draw this one, you would actually form a right triangle, where the hypotenuse is the length of the ladder (15 ft), and one of the legs is the distance from the wall to the bottom end of ladder (9 ft). What we're looking for is also the length of the other leg.
Recall the Pythagorean theorem:
c^2 = a^2 + b^2
where c is the hypotenuse and a & b are the legs. Substituting,
15^2 = 9^2 + b^2
225 - 81 = b^2
144 = b^2
b = 12 ft
Hope this helps :3
a^2+b^2=c^2 6 and 7 we are finding the hypotenuse so 6*6=36 7*7=49 49+36=85 and from their
right triangle:a^2+b^2=c^2 6 and 7 we are finding the hypotenuse so 6*6=36 7*7=49 49+36=85 and from their you square 85 = 9.22 HOPE THIS HELPED!!!!!!!!!!!!!!!!!!!!!!!!!!
Sure, I can help you with that!
To find out how many feet above the ground the ladder touches the wall, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the ladder forms a right triangle with the wall and the ground. The ladder itself is the hypotenuse, the height above the ground is one side, and the distance along the ground from the base of the ladder to the wall is the other side.
Given that the ladder is 15 feet long and its base is 9 feet away from the wall, we can use the theorem to find the height above the ground. Let's call the height h.
Using the Pythagorean theorem, we have:
(9^2) + (h^2) = (15^2)
Simplifying, we get:
81 + h^2 = 225
We can now solve for h by subtracting 81 from both sides:
h^2 = 225 - 81
h^2 = 144
To get h, we take the square root of both sides:
h = √144
h = 12
Therefore, the ladder touches the wall 12 feet above the ground.