Math

Matt is repairing a gate and needs to nail a brace diagonally to strengthen the posts. If the height of the post is 48 inches and there is 64 inches between posts, in inches, what should the length of the diagonal brace be in order to fit between the posts?

A. 80
B. 42
C.15
D. 4

1. 👍
2. 👎
3. 👁

1. 👍
2. 👎
2. Use the Pythagorean Theorem. The brace needs to be
√(48^2 + 64^2) = 16√(3^2 + 4^2) = 16*5 = 80 inches

You should have recognized this as a scaled-up version of the familiar 3-4-5 right triangle. You can save yourself some calculation by learning a few of the basic Pythagorean triples, such as
3-4-5, 5-12-13, 8-15-17, 7-24-25
and their multiples.

1. 👍
2. 👎
👤
oobleck
3. 1- 27,36,45
2- 10.6
3- 80
4- 4.1

1. 👍
2. 👎
4. I- is correct

1. 👍
2. 👎

Similar Questions

1. Physics warming a nail

2.) Pounding a nail into wood makes the nail warmer. Consider a 5-g steel nail 6 cm long and a hammer that exerts an average force of 500 N on the nail when it is being driven into a piece of wood. The nail becomes hotter. Show

2. math

A carpenter is building rectangular walls for a room addition. The width of a section of wall is two times the height h. Each section has a brace that connects two opposite corners of the section. What is a simplified expression

3. geometry

A wall is supported by a brace 10 feet long. If one end of the brace is placed 6 feet from the base of the wall, how many feet up the wall does the brace reach? Think of the right triangle frmed by the wall, the floor and the

4. science

During physical science, Ms. Greene challenged her students to produce an energy transformation. James and Jill wrapped a 4-inch nail with a coil of fifty turns of wire. They connected one end of the coil to one terminal of a

1. physics

An insulated copper wire is wrapped around an iron nail. The resulting coil of wire consists of 240 turns of wire that cover 1.8 cm of the nail, as shown in the figure . A current of 0.61 A passes through the wire. if the

2. math

Tom built a fence around his rectangular shaped pool. The posts are 2 yards apart, there are 4 posts along the width and 8 posts along the length. What are the dimensions of the fence?

3. Intro to Psychiology 1

Which one of the following statements about the gate-control theory is true? A) Pain impulses create a gate leading to the brain. B) The brain is capable of generating pain on its own. C) The gate closes when pain messages go to

4. math

New streetlights will be installed along a section of the highway. The posts for the streetlights will be 7.5 m tall and made of aluminum. The city can choose to buy the posts shaped like cylinders or the posts shaped like

1. Psychology

Which one of the following statements about the gate-control theory is true? Pain impulses create a gate leading to the brain. The brain is capable of generating pain on its own. The gate closes when pain messages go to the brain.

2. science

When you hit a nail into a board using a hammer, the head of the nail gets warm. In terms of kietic and thermal energy, describe why you think this happens.

3. Physics

A nail on a vertical wall is pulled by means of a chord attached to its head if the chord makes an angle of 60deg to the horizontal and it exact a force of 80N on the nail find the effective force which tends to pull the nail out

4. physics

A hammer is often used to force a nail into wood. The faster the hammer moves, the deeper the nail moves into the wood. This can be represented in a laboratory by a mass falling vertically onto a nail. It is suggested that the