# Tutor.com Geometry Session

##### Dec. 19, 2012

Session Transcript - Math - Middle Grades, 12/11/2012 10:49PM - Tutor.comSession Date: 12/11/2012 10:49PM
Length: 20 minute(s)

System Message
[00:00:00] *** Please note: All sessions are recorded for quality control. ***

carlos (Customer)
[00:00:00] Tara drives due north for 22 miles then east for 11 miles. How far is Tara from her starting point? Round to the nearest tenth if necessary.

Jennifer P (Tutor)
[00:00:13] Good Evening!

carlos (Customer)
[00:00:23] good evening

Jennifer P (Tutor)
[00:00:44] Have you started working on the problem?

carlos (Customer)
[00:00:54] no but i know how to start

Jennifer P (Tutor)
[00:00:59] Good!

carlos (Customer)
[00:01:01] a^2+b^2=c^2

Jennifer P (Tutor)
[00:01:07] Can you show me on the board?

carlos (Customer)
[00:01:14] 11^2+b^2=22^2

Jennifer P (Tutor)
[00:01:20] Yes, you will use the Pythagorean Theorem
[00:01:47] Good!

carlos (Customer)
[00:01:56] 11=121 and 22=22=484

Jennifer P (Tutor)
[00:01:59] You've got the setup correct
[00:02:12] Actually, wait just a second!

carlos (Customer)
[00:02:19] if you subtract it you get 363

Jennifer P (Tutor)
[00:02:27] Let's draw a picture to look at the problem

carlos (Customer)
[00:02:41] then the square root is 19.052558
[00:02:42] ok

Jennifer P (Tutor)
[00:02:59] Look at the problem

carlos (Customer)
[00:03:02] ok

Jennifer P (Tutor)
[00:03:45] What part of the equation do you have?
[00:03:51] a, b, c ??

carlos (Customer)
[00:03:55] yes

Jennifer P (Tutor)
[00:04:18] Remember the legs of the triangle are the a and b in the equation

carlos (Customer)
[00:04:25] ok

Jennifer P (Tutor)
[00:04:36] You are missing the 'c' which is your hypotenuse

carlos (Customer)
[00:04:40] ok

Jennifer P (Tutor)
[00:04:40] Make sense?

carlos (Customer)
[00:04:45] yup

Jennifer P (Tutor)
[00:04:50] Good . . .
[00:05:00] so your setup was off by a side

carlos (Customer)
[00:05:09] oh ok

Jennifer P (Tutor)
[00:05:21] You already said what the squares equaled
[00:05:41] Now, what would you do to solve

carlos (Customer)
[00:06:08] 22=484 and 11=121 add them up and you get 605

Jennifer P (Tutor)
[00:06:21] Good

carlos (Customer)
[00:06:27] the square root is 24.596747

Jennifer P (Tutor)
[00:06:33] Sounds good!
[00:06:39] Do you understand your mistake?

carlos (Customer)
[00:06:44] yes

Jennifer P (Tutor)
[00:06:47] and the process we used to solve
[00:06:48] ?

carlos (Customer)
[00:06:54] yes

Jennifer P (Tutor)
[00:06:56] :0
[00:06:57]

carlos (Customer)
[00:07:09] so it rounds to 24.6?

Jennifer P (Tutor)
[00:07:24] Yes, to the nearest tenth you would have 24.6

carlos (Customer)
[00:07:31] yes 2 more problems but short ones

Jennifer P (Tutor)
[00:07:39] Let's go for it

carlos (Customer)
[00:09:02] A wire 30 feet long is stretched from the top of a flagpole to the ground at a point15 feet from thebase
[00:09:31] of the pole. How high is the flagpole? Round to the nearest tenth if necessary

Jennifer P (Tutor)
[00:10:12] Again, let's draw a picture to see what the problem is saying

carlos (Customer)
[00:10:18] ok

Jennifer P (Tutor)
[00:11:07] What measurements go where?

carlos (Customer)
[00:11:19] i dont know it doesnt have a picture

Jennifer P (Tutor)
[00:11:37] Are you able to see the whiteboard?
[00:11:41] I've drawn a picture

carlos (Customer)
[00:12:04] ok

Jennifer P (Tutor)
[00:12:15] Are you able to see it?

carlos (Customer)
[00:12:18] yes

Jennifer P (Tutor)
[00:12:21] Good
[00:12:38] Which part does the 30 foot long wire represent?

carlos (Customer)
[00:12:42] so it is 15^2+b^2=30^2

Jennifer P (Tutor)
[00:12:51] You got it!

carlos (Customer)
[00:13:15] 15=225 and 30=900

Jennifer P (Tutor)
[00:13:22] Good

carlos (Customer)
[00:13:29] subtract them and you get 675

Jennifer P (Tutor)
[00:13:33]

carlos (Customer)
[00:13:48] the square root is 25.980762

Jennifer P (Tutor)
[00:13:55] You must have a calculator
[00:13:59] Good job

carlos (Customer)
[00:14:09] yes i do
[00:14:21] so then the answer is 25.9

Jennifer P (Tutor)
[00:14:31] Look carefully at this one

carlos (Customer)
[00:14:35] 30

Jennifer P (Tutor)
[00:14:40] If you are the round to the nearest tenth . . .
[00:14:44] Now, you've got it
[00:14:46] 30.0

carlos (Customer)
[00:14:46] ok

Jennifer P (Tutor)

carlos (Customer)
[00:16:20] Adrian's television is 25 inches wide and 18 inches high. What is the diagonal size of Adrian's television? Round to the nearest tenth if necessary.

Jennifer P (Tutor)
[00:17:13] What would your setup be?

carlos (Customer)
[00:17:20] so it is 18^2+25^2=c^2

Jennifer P (Tutor)
[00:17:28] You got it!

carlos (Customer)
[00:17:49] 18=324 and 25=625

Jennifer P (Tutor)
[00:17:53]

carlos (Customer)
[00:18:05] add them up and we get 949

Jennifer P (Tutor)
[00:18:08]

carlos (Customer)
[00:18:22] the square root is 30.805843

Jennifer P (Tutor)
[00:18:29] Looks good

carlos (Customer)
[00:18:33] so it is 30.9

Jennifer P (Tutor)

carlos (Customer)
[00:18:48] 30.8

Jennifer P (Tutor)
[00:18:52] 30.80 would round to . . .
[00:18:55] Yes, you've got it!
[00:18:57] Great job!!
[00:19:10] I highly recommend sketching a picture on problems like these . . .

carlos (Customer)
[00:19:19] ok thanks ive got it!!!!
[00:19:21] ok

Jennifer P (Tutor)
[00:19:24] it can help you make sure you get the numbers in the correct places!
[00:19:26] Great job!

carlos (Customer)
[00:19:48] bye!!!!!

Jennifer P (Tutor)
[00:19:53] bye