Tutors Answer Your Questions about Pythagorean-theorem (FREE)
Question 495900: There is a square-walled city with a door at the center of each of its sides. Find the dimensions of the city if there is a tree that is 30 yards due north of the northern gate that can just be seen beyond the corner of the city if one stands 750 yards due west of the western gate.
Ive drawn a picture of a square with a marker on each side halfway along the length of the side to denote the gates. Now i drew a line from the top of the square starting at the "gate" [perpendicular to the side] and labeled this line 30yards/tree. [due norther of northern gate] Then on the left side of the square i drew another line [again perpendicular to the side] and labeled this 750yards. [due west of western gate] Then i connected the ends of these two lines. However, i feel that i do not have enough information to then find the length of the sides. I tried denoting the length of the sides of the square city "x". [needing to find the length of the sides, i figured id solve for x somehow] this allowed me to see two small right triangles outside the "city" ; one with height 30 and base 1/2 x, the other with base 750 and height 1/2x. both of these triangles have an unknown hypotenuse and unknown x. Then i looked at the larger right triangle that would have height (1/2 x + 30) and base (1/2 x + 750) AGAIN, i have unknown hypotenuse and unknown x. I'm not sure if im looking at this completely wrong, or if im on the right tract somehow. I dont think the answer should be in terms of x. This is a problem from the Nine Chapters, the Chinese book. Gougu theorem [ie, pythagorean]
Any help or pointers or anything really, would be much appreciated.
Thanks in advance!
Click here to see answer by cleomenius(959)   |
Question 495874: 10^2 + The height of a wall is 10 ft, and a pole leans against it so that the pole reaches the top of the wall. If the bottom of the pole is moved 1 foot farther from the base of the wall, the pole will fall. What is the height of the pole?
I wasnt sure if this was as simple as:
10^2 +1^2= height of the pole^2 So that'd be sqrt(101) = height of the pole?
I suppose I'm caught on not being given whether the pole begins completely parallel to the wall, or whether the pole begins, say 5 feet from the wall but 6 feet would make it fall.
Thanks so much for your help!
Click here to see answer by cleomenius(959) |
Question 499042: Hello! May you help me with this question?
If the hypotenuse of a right triangle is 10 and one leg is 5 radical 3, then the area if the triangle is...
(A) 5
(B) 25 radical 3
(C) 25
(D) 50 radical 3
(E) 12.5 radical 3
This is what i did to try to solve the problem. So according to Pythagorean theorem I did this formula a(squared)+b(squared)= c(squared). Since the hypotenuse is always c and one leg is 5 radical 3, this is what i did a(squared)+ 5 radical 3(squared)= 10(squared). which equals a(squared)+ 15= 100.
this can be simplified to a(squared)=85. so a is the square root of 85. since this is the height, and 5 radical 3 is the base i multiply radical 85 times 5 radical 3. which is 5 radical 255. then i divide this by 2 and get 2.5 radical 255. but this is not one of the choices. May you tell me what you got and how please? :) thank you
By, Nang Tun
Click here to see answer by richard1234(7193)  |
Question 499034: The screen size of a television is determined by the length of the diagonal of the rectangular screen. Traditional TVs come in a 4:3 format, meaning the ratio of the length to the width of the rectangular screen is 4 to 3. What is the area of a 37-inch traditional TV screen? What is the area of a 37-inch LCD TV whose screen is in a 16:9 format? So far I tried to get the traditional tv's dimension with the pythagorean theorem. so it was X^2 + (3/4)X^2 = 37^2 (X= length) and my final answer was X= 48.95 but when i got the area it was wrong.
Click here to see answer by chessace(471)  |
Question 499034: The screen size of a television is determined by the length of the diagonal of the rectangular screen. Traditional TVs come in a 4:3 format, meaning the ratio of the length to the width of the rectangular screen is 4 to 3. What is the area of a 37-inch traditional TV screen? What is the area of a 37-inch LCD TV whose screen is in a 16:9 format? So far I tried to get the traditional tv's dimension with the pythagorean theorem. so it was X^2 + (3/4)X^2 = 37^2 (X= length) and my final answer was X= 48.95 but when i got the area it was wrong.
Click here to see answer by cleomenius(959) |
Question 498904: Work out the length of PQ.
Give your answer correct to 3 significant figures.
PQ2 = 6.5 2squeared + ............... 6.5CM
PQ2 = ......................
pq2 = ...........
PQ = .......................... 8.3CM
pq = .......................... CM CORRECT TO 3 S.F
Click here to see answer by cleomenius(959) |
Question 499351: Hello Tutor.
I am Faria, your student today, and there is this trick question, and people says it is 4,100, but I say it's 5000.
So here is the problem:
1000+1000+40+30+20+1000+10.
Please tell me how is it 4100!
Thanks!
Click here to see answer by chessace(471) |
Question 499351: Hello Tutor.
I am Faria, your student today, and there is this trick question, and people says it is 4,100, but I say it's 5000.
So here is the problem:
1000+1000+40+30+20+1000+10.
Please tell me how is it 4100!
Thanks!
Click here to see answer by richard1234(7193) |
Question 499351: Hello Tutor.
I am Faria, your student today, and there is this trick question, and people says it is 4,100, but I say it's 5000.
So here is the problem:
1000+1000+40+30+20+1000+10.
Please tell me how is it 4100!
Thanks!
Click here to see answer by Alan3354(69443)  |
Question 507460: You and your friend part at an intersection. You travel north at a constant speed and your friend travels east at the same speed plus 5 mph. After traveling for three hours the distance between the two in 222.99 miles. At what speed were you traveling?
Click here to see answer by lwsshak3(11628) |
Question 510003: Please help me with this problem, using the Pythagorean theorem:
A rectangular park is 6 miles long and 3 miles wide. How long is a pedestrian route that runs diagonally across the park?
Please let me know the steps that lead you to the solution. Thanks so much!
Click here to see answer by nerdybill(7384)  |
Question 511913: Mr Wong left his house and drove north for 5 blocks, then turned right and drove 6 blocks, then turned south and drove 2 more blocks. Finally, he turned right again and drove one more block to end up at the library.
How many blocks east of Mr Wong's house is the library ??
Please help me get to the answer at the most basic elementary level. It's for a 4th grader my son.
Click here to see answer by oberobic(2304) |
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