a 5m long ladder is placed against a wall with its foot 1.8m from the wall.find how far up the wall the ladder reaches?

1 answer:

galina1969 [7]3 years ago

4 0

Since you have the hypotenuse (5) and the adjacent side (1.8) all you have to do is find out what squared times 1.8 squared equals 5 squared. the formula for this is a^2 + b^2 = c^2

Now to figure this out you can do 5^2 which equals 25.
Then you do 1.8^2 which equals 3.24. then you subtract the two and get 21.76.
if you find the square root of 21.76 you will get 4.6647.
4.6647 is the distance of how far up the wall the ladder reaches.

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‼️GEOMETRY‼️

ella [17]

Answer:

A.) 1018 square inches

Step-by-step explanation:

The largest sphere will have a diameter equaling the length of the cube (see picture).

If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:

$SA=4\pi r^2$

For this formula, we need the radius of the sphere. Divide the diameter by 2:

$\frac{18}{2}=9$

The radius is 9 inches. Plug this into the equation:

$SA=4\pi *9^2$

Simplify the equation:

$SA=4\pi *81\\\\SA=324\pi \\\\SA=1017.87$

Round the result to the nearest whole number:

$1017.87$ → $1018$

The surface area is 1,018 inches².

:Done

Picture:

In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.