There
There is a stretched steel cable between the three columns. The height of the first column is 4 m, and the height of the second is 3.5 m. The distance between the first two columns is 2.5 m, and the distance between the second and third is 5 m. The heels of all three pillars stand in one line. What is the height of the third column?
Correct answer:
Tips for related online calculators
Check out our ratio calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
See also our trigonometric triangle calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Two cables
On a flat plain, two columns are erected vertically upwards. One is 7 m high, and the other 4 m. Cables are stretched between the top of one column and the foot of the other column. At what height will the cables cross? Assume that the cables do not sag. - Decimetres 82870
Next to the road are 15 pillars at a distance of 2.5 meters. The pillars are 15 cm wide and stand at the beginning and end of the path. Calculate the length of the path in decimetres. - Columns of two and three
When students in one class stand in columns of two, there is none left. When he stands in columns of three, there is one student left. There are five more double columns than three columns. How many students are in the class? - Installed 5793
A group of fitters installed the cable line in 9 changes, and the second group completed the same task in 1/3 less time. How many shifts would the third group do the same work if, with all three groups working together, the assembly took 2 shifts? - Triangular 81985
Trainees stand on the marks in rows exactly 1.5 m apart. They form an expanding triangular wedge (in each subsequent row, there is one more exerciser), while the distance between the front exerciser and the back row is 30 m. Determine the number of traine - 60-meter-long 8472
A 60-meter-long rope anchors the column at 3/4 of its height. The rope is anchored in the ground at a distance of 15 meters from the base of the column. Calculate the height of the column (in tenths). - Salat
Grandmother planted salad. In each row, he planted 13 seedlings. After a morning frost, many seedlings died. In the first row, five seedlings died. In the second row, two seedlings died more than 1st row. In the third row, three seedlings died less than 1 - 8 wooden Eight wooden poles are used for pillars, and the length of the pillars is from an arithmetic progression. If the second pole is 2 meters and the sixth pole is in order 5 meters, find the difference between the sixth and seventh poles.
- Trains
On a double-track line between stations, K and M went against each other two trains. The first train passed the distance between stations for 3.5 hours, and the second, which had an average speed of 12 km/h more, passed for 3.05 hours. Calculate the dista - Suspended 82617
A round steel weight (ρ1=7800 kg/m3) is suspended on a thread and immersed in water (ρ2=1000 kg/m3). The volume of the weight is 1dm³. With what force is the thread stretched? - Three excursions
Each pupil of the 9A class attended at least one of the three excursions. There could always be 15 pupils on each excursion. Seven participants of the first excursion also participated in the second, 8 participants of the first excursion, and 5 participan - Support colum
Calculate the support column's volume and surface, which is shaped as a vertical quadrangular prism whose base is a rhombus with diagonals u1 = 102 cm and u2 = 64 cm. Column height is 1. 5m. - Intersection 6653
Two straight paths cross, making an angle alpha = 53 degrees 30'. There are two pillars on one of them, one at the intersection, the other at a distance of 500m from it. How far does one have to go from the intersection along the other road to see both po - Probability 2386
We throw a die seven times. What is the probability that: a) the first, second, and third times fall six and not in all the others, b) 5 does not fall four times in a row, and yes, in the last 3 hours? - Garden
The garden has the shape of a rectangle measuring 19m 20cm and 21m 60cm. Mr. Novák will fence it. It wants the distance between adjacent pillars to be at least two meters and a maximum of three meters. He would also like the distances between the adjacent - Four-digit numbers
Find four-digit numbers where all the digits are different. For numbers, the sum of the third and fourth digits is twice the sum of the first two digits, and the sum of the first and fourth digits is equal to the sum of the second and third digits. The di - Cylindrical 83193
How much concrete is needed to pour 8 concrete columns with a square base: a = 38 cm, the height of the columns being 6.2 m? Each column has a cylindrical cavity with a diameter of 15 cm.
