a flag pole that is 10 m talk casts a shadow that is 6 m long. what is the distance from the top of the pole to the end of the shadow

11.66 meters

Step-by-step explanation:

First draw a diagram. See attachment.

We notice that if we draw everything out, we get a right triangle.

The flag pole and its shadow are the two legs, with lengths 10 and 6 meters. We want to find the distance from the top of the pole to the end of the shadow, so we need to use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, a = 10 and b = 6, and we want to find c:

a² + b² = c²

10² + 6² = c²

100 + 36 = c²

136 = c²

c = √136 = 2√34 ≈ 11.66 meters

~ an aesthetics lover

area of base =  

where 'r' is the radius

Step-by-step explanation:

Volume of the cylinder formula =

volume of cylinder = area of base * height

The base of a cylinder is a circle. so we use the area of circle for the base of cylinder while finding volume

We know area of the circle is

So area of the base of cylinder is  

To find volume of the cylinder , we multiply the base of the cylinder with height

To determine the base of the cylinder we need radius of the cylinder

area of base =  

where 'r' is the radius