Jalen is trying to set a pole that is 10 feet long into the ground so that it is perpendicular with
the horizontal surface. Jalen locates a point 6 feet from the base of the pole, a C, and labels
it A He then measures the distance from point A to point What distance, to the nearest
tenth of a foot does Jalen need for the pole to be perpendicular? Justify,
10 font long board and an 18 foot long board. To make the ramp
isht triangle. How long should

Step-by-step explanation:

The distance of point A from the top of the pole that will make the pole be  perpendicular position to the ground

so, for the pole to be in perpendicular position it must obey Pythagorean theorem

Then, using Pythagoras theorem

c² = a² + b²

x² = 10² + 6²

x² = 100 + 36

x² = 136

x = √136

x = 11.662ft

To nearest tenth

x = 11.7 ft.

So, the pole must be at a distance of 11.7 ft from the top of the pole to point A.

To justify,

10 font long board and an 18 foot long board. To make the ramp right triangle. How long should ramp

So, to calculate the ramp, which is the hypotenuse we will still apply Pythagorean theorem

Then, using Pythagoras theorem

c² = a² + b²

x² = 10² + 18²

x² = 100 + 324

x² = 424

x = √424

x = 20.59 ft

To nearest tenth

x = 20.6 ft.

So, the ramp is 20.6 ft long

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !