problem 4 1 stopping sneaky sally l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Problem 4.1 Stopping Sneaky Sally PowerPoint Presentation
Download Presentation
Problem 4.1 Stopping Sneaky Sally

Loading in 2 Seconds...

play fullscreen
1 / 6

Problem 4.1 Stopping Sneaky Sally - PowerPoint PPT Presentation


  • 402 Views
  • Uploaded on

Problem 4.1 Stopping Sneaky Sally. The Pythagorean Theorem can be used in situations in which you need to find the missing length in a right triangle.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

Problem 4.1 Stopping Sneaky Sally


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
problem 4 1 stopping sneaky sally

Problem 4.1 Stopping Sneaky Sally

The Pythagorean Theorem can be used in situations in which you need to find the missing length in a right triangle.

slide2

Horace Hanson is the catcher for the Humbolt Bees baseball team. Sneaky Sally Smith, the star of the Canfield Cats, is on first base. Sally is known for stealing bases, so Horace is keeping a sharp eye on her.The pitcher throws a fastball, and the batter swings and misses. Horace catches the pitch. Out of the corner of his eye, he sees Sally take off for second base.

slide3
How far must Horace throw the baseball to get Sally out at second base? Explain how you found your answer.

Since that part of the infield makes a right triangle, you need to use the Pythagorean Theorem.

a2 + b2 = c2

This is the distance Sally must run

902 + 902 = c2

8100 + 8100 = c2

This is the unknown distance Horace must throw.

16200 = c2

16200 =  c2

127.28 = c

Horace must throw the baseball about 127 feet from home plate to 2nd base.

slide4

Follow up 4.1: The shortstop is standing on the baseline, halfway between second base and third base. How far is the shortstop from Horace?

a2 + b2 = c2

902 + 452 = c2

Shortstop

8100 + 2025 = c2

10125 = c2

10125 =  c2

100.62 = c

The shortstop is about 100 feet from the catcher.

slide5

When my 13 foot ladder is set up it reaches the top of my window that is 12 feet in the air. How far from my house is the bottom of my ladder?

a2 + b2 = c2

a2 + 122 = 132

a2+ 144 = 169

13’

a2 = 25

12’

a2 = 25

?

a = 5

The ladder is 5 feet from the base of the house.

slide6

When using the Pythagorean theorem, make sure you plug the hypotenuse into “c” in the formula. Make sure you write the formula and show all of your work to get your answer.The Hypotenuse will always be across from the right angle and it will always be the longest of the three sides.