We have 2 poles 5 m and 7 m height ropes are connected from
top of one to tthe bottem of another find the intersection
height of those poles.
Answers were Sorted based on User's Feedback
two poles of 5m and 7m respetively. a wire is tied from top
of one to bottom of other. at what heightthe two wires will
cross
We will use algebra and an x-y coordinate axis to solve this
problem. Let the pole of 5 m be located at the origin, so
the two ends of that pole are at (0,0) and (0,5). Let the
pole of 7 m be located on the x-axis at a distance of a to
the right of the first pole, so the two ends of that pole
are at (a, 0) and (a,7). The problem does not state the
distance between the poles, so we let that equal an unknown
constant "a" for now. We will find out later that the value
of "a" is irrelevant.
So we want to draw two lines, one from the base of one to
the top of the other and vice versa.
Line 1: Points (0,0) and (a,7)
Slope of line 1: m = 7/a
Intercept of line 1: b = 0
Equation of line 1: y = (7/a) x
Line 2: Points (0,5) and (a,0)
Slope of line 2: m=-5/a
Intercept of line 2: b = 5
Equation of line 2: y = (-5/a)x + 5
The point where these lines meet is the place where the
wires cross!
Solve equation 1 for x:
x = (a/7) y
Substitute this into equation 2:
y = (-5/a) (a/7) y + 5
Notice that a cancels out!
y = (-5/7)y + 5
(12/7) y = 5
12y = 35
y = 35/12 = 2.912
| Is This Answer Correct ? | 12 Yes | 0 No |
Answer / rohit_allinterview
Can be calculated using similarity properties of triangles.
Steps:
Step1: Treat line AB as pole1 of 5mts.
Step2: Treat line CD as pole2 of 7mts.
Step3: Let E be the intersection of AD and BC.
Step4: Drop E perpendicular to BD at F. EF=? to b calculated
Step5: Trngl EFD and Trng ABD are similar, Hence
AB/EF= BD/FD. ==> 5/EF=BD/FD
So, EF = 5*FD/BD ------> Eq.1
Similarily, considering trngl's CDB, EFB. They are similar.
Hence, CD/EF = BD/BF ===> 7/EF= BD/(BD-FD)
So, EF = 7*(BD-FD)/BD ----> Eq .2
Solve eq 1 and eq 2. i.e., Equate eq 1 and eq 2.
Hence u get 12*FD=7*BD => FD=7*BD/12 -----> Eq 3
Solve Eq 1 and Eq 3. i.e., substitute FD in Eq1.
EF=35/12= 2.916
Plz rate it if it is correct/incorrect. For any
clarification mail me at rohit_vit2020@yahoo.co.in
| Is This Answer Correct ? | 9 Yes | 0 No |
Answer / kiran
actually we can calcuate base by applying pythagoras thm.
but finding intersection pt. is bit tricky so rohit if u can
clarify your answer post here
| Is This Answer Correct ? | 0 Yes | 0 No |
Answer / madhu
I think without knowing the distance b/w the two poles, we
cant find intersecting point height.
| Is This Answer Correct ? | 4 Yes | 10 No |
Answer / karthik
No rope from top of one pole can reach bottom of other..
so we could't calculate the intersection point from ground
| Is This Answer Correct ? | 0 Yes | 6 No |
Eleven boys and girls wait to take their seats in the same row in a movie theater. There are exactly 11 seats in the row. They decided that after the first person sits down, the next person has to sit next to the first. The third sits next to one of the first two and so on until all eleven are seated. In other words, no person can take a seat that separates him/her from at least one other person. How many different ways can this be accomplished? Note that the first person can choose any of the 11 seats.
You have 2 identical glass bulbs with you. Bulb manufacturer has mentioned that each bulb might withstand a drop of 200 Feet at maximum. Your task is to find the height at which the bulb breaks ofcourse with minimum number of iterations. Assume that you have 200 blocks of 1 foot each which can be stacked one by one to create a 200 Feet structure to carry out the test.
In a kingdom far far away, the King decided that the time has come to find a husband for his princess daughter. The King wanted to find a worthy lad for his princess, so he promised to give his daughter away to the first young (or old) man who would solve the puzzle that has stumped the best of his court mathematicians for years. The puzzle is very simple: in a palace, there are 25 rooms arranged in a square--5 rows of rooms with 5 rooms in each row. In every room there is a light switch which not only switches on/off the light in that room, but also switches the lights in the adjacent rooms--the room to the right, to the left, the room above and the room below. Initially, all of the lights are turned off. The goal is to turn the lights on in every room of the palace.
there are 6 balls all of same weight except one ball. u r given a weighing balance. in how many trys can u find the ball tat has different weight? (the ball can b heavier or lighter than the rest)
how many coins do i have in my pocket
suppose you build a tower interlocking cubes that is 99 cubes high. And suppose you have to paint each square on the tower. How many squares would you have to paint?
Find a number which ends with digit 2 such that when you cut this last digit and paste it in the front of the number, the new number value is double that of original.
Find the 8, 19, 21, 25, 20, ?
There are 3 persons X, Y and Z. On some day, X lent tractors to Y and Z as many as they had. After a month Y gave as many tractors to X and Z as many as they have. After a month Z did the same thing. At the end of this transaction each one of them had 24. Find the tractors each originally had?
Somebody marked the six faces of a die with the numbers 1, 2 and 3 - each number twice. The die was put on a table. Four people - Abu, Babu, Calu and Dabu - sat around the table so that each one was able to see only three sides of the die at a glance. ? Abu sees the number 1 and two even numbers. ? Babu and Calu can see three different numbers each. ? Dabu sees number 2 twice and he can't remember the third number. What number is face down on the table?
arrange these alphabets evenymroin in to three words
You have 3 points labelled A, B and C. You then have another 3 points labelled 1, 2 and 3. The aim of the puzzle is to connect point A with point 1, 2 and 3. Point B with point 1, 2 and 3 and point C with point 1, 2 and 3. Now while connecting the points you have to follow one rule - the lines cannot cross over each other.