Ben set up a volleyball net in his backyard. one of the poles, which forms a right angle with the ground, is 6 feet high. to secure the pole, he attached a rope from the top of the pole to a stake 4 feet from the bottom of the pole. find the length of the rope. (round to the nearest tenth of a foot, if necessary). is leaning against a house with the base of the ladder 4 feet from the house. how high up the house does the ladder reach? round to the nearest tenth of a foot.

7.745 feet

Explanation:

Data provided:

Length of the pole, L = 6 feet

Distance between the stake from the bottom of the pole, B = 4 feet

let the length of the rope be 'x'

Now,

The top of the pole, the bottom of the pole and the stake forms a right angled triangle.

Thus,

Using the concept of Pythagoras theorem,

we have

length of the pole as perpendicular, Distance between the stake from the bottom of the pole as base and length of the rope as hypotenuse

therefore,

L² + B² = x²

on substituting the values, we get

6² + 4² = x²

or

x = √60

or

x = 7.745 feet

568.98

explanation:

its math

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.