Surveyors
Surveyors mark 4 points on the globe's surface so their distances are the same. What is their distance from each other?
Correct answer:
Showing 1 comment:
Petr
Theme - problem of a tetrahedron (4 vertices). The sphere - circumsphere (Earth) is described by this tetrahedron and we are looking from its radius to the side length. From formula.
Tips for related online calculators
Do you want to convert length units?
You need to know the following knowledge to solve this word math problem:
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Shortest 81627
What is the shortest distance across the globe's surface on a scale of 1:1,000,000 from the equator to the North Pole? - Distances 79974
The picture shows three villages, A, B, and C, and their mutual air distances. The new straight railway line is to be built so that all the villages are the same distance from the line and that this distance is the smallest possible. How far will they be - Half-planes 36831
The line p and the two inner points of one of the half-planes determined by the line p are given. Find point X on the line p so that the sum of its distances from points A and B is the smallest. - Determine 8133
Determine the distance between two places, M, and N, between which there is an obstacle so that place N is not visible from place M. The angles MAN = 130°, NBM = 109°, and the distances |AM| = 54, |BM| = 60, while the points A, B, and M lie on one straigh
- Angles of elevation
From points A and B on level ground, the angles of elevation of the top of a building are 25° and 37°, respectively. If |AB| = 57m, calculate, to the nearest meter, the distances of the top of the building from A and B if they are both on the same side of - Distance 15203
In the plane, the points A, B, and C are given 3 cm apart, and they do not lie in the same straight line. Mark the set of all points whose distance from all three points is less than or equal to 2.5 cm. - Against each other
From two points, A and B distant 29 km at the same time started two cars against each other at speeds 82 km/h and 72 km/h. How long do cars meet, and what distance passes each of them? - Straight lines
Draw two lines c, d so that c || d. On line c, mark points A, and B, from point A starts perpendicular to line c, from point B perpendicular to line c. - Between two mixed
What is the rational number between 2 1/4 and 2 4/5?
- Trees in alley
There are four trees in the alley between which the distances are 35m, 15m, and 95m. Trees must be laid in the spaces so that the distance is equal and maximum. How many trees will they put in, and what will be the distance between them? - Fly and cyclist
Two cyclists are 20 km apart on the same line. They start at the same time as each other at a speed of 10 km/hr. A fly sitting on one of the cyclist's handles starts flying toward the other cyclists at a speed of 20 km/hr. It touches the handle and moves - Centre of mass
The vertices of triangle ABC are from the line p distances 3 cm, 4 cm, and 8 cm. Calculate the distance from the center of gravity of the triangle to line p. - On line
On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0]. - Perpendicular 81837
Two neighboring cottagers have cottages under the forest by the stream. They decided to build a bridge over the stream at a place far from the two huts. The distance between the cottages is 230 m; one cottage is 120 m from the stream, and the other is 85
- Rectangular flowerbed
Around the rectangular flowerbed with dimensions of 5.25 m and 3.50 m, roses should be planted at the same distance from each other so that the roses are located in each corner of the flower bed and are consumed as little as possible. How far do we plant - Pagans
Elena cut out the same circle-shaped pagans and put them on a rectangular sheet so that the neighboring pagans were touching each other and the pagans were touching the walls of the sheet on the edges. Each pagan occupied 28.26 cm² of the bottom of the sh - Marie-Pier
Marie-Pier, Frédéric, and Simon bump into each other in the street on a Tuesday while the three of them are running. Marie-Pier trains every three days, Frédéric every four days, and Simon every Tuesday. If they all keep up with their training pace, in ho