Geometry + direct relationship - practice problems - page 2 of 4
Number of problems found: 75
- Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents. - Traffic laws
Under traffic regulations, car lights can illuminate the road up to a maximum of 30 m. To check the reach of the dipped-beam lights of their car, Peter stopped the car at 1.5 m from the wall. The dipped beam headlights are 60 cm high. At what height on th - Line segment
Cut a line segment of 15 cm into two line segments so that their lengths are in a ratio of 2:1. What length will each have? - Shadow of tree
Miro stands under a tree and watches its shadow and shadow of the tree. Miro is 180 cm tall, and its shade is 1.5 m long. The tree's shadow is three times as long as Miro's shadow. How tall is the tree in meters?
- MO Z9–I–2 - 2017
VO is a longer base in the VODY trapezoid, and the diagonal intersection K divides the VD line in a 3:2 ratio. The area of the KOV triangle is 13.5 cm². Find the area of the entire trapezoid. - Display case
Place a glass shelf at the height of 1m from the bottom of the display case in the cabinet. How long platter will we place at this height? The display case is a rectangular triangle with 2 m and 2.5 m legs. - Shadow and light
Nine meters height poplar tree has a shadow 16.2 meters long. How long does shadow have at the same time as Joe if he is 1,4m tall? - Approximately 25381
The observer sees the tops of two trees at the same angle a. It is 9 m from one tree and 21 m from the other. The trees stand on a level. How tall is the second tree if the height of the first is 6 m? Remember that the eyes of a standing person are approx - Snowman's 82155
Under the column, the children built a 1.65m tall snowman. The snowman's shadow is 135 cm long. The shadow of the column has a length of 4.05 m. How tall is the pole?
- The chimney
The chimney casts a shadow 45 meters long. The one-meter-long rod standing perpendicular to the ground has a shadow 90 cm long. Calculate the height of the chimney. - Determine 70834
At the same time, a vertical 2-meter pole casts a shadow of 0.85 meters. At the same time, a chimney of unknown height casts a 45m long shadow. Determine the height of the chimney. - Shadow
A meter pole perpendicular to the ground throws a shadow of 40 cm long. The house throws a shadow 6 meters long. What is the height of the house? - Mine
In the mine, at depth 18 m is 12°C, and every 50 m, the temperature increases by 1°C. What is the temperature at a depth of 1615 m? - Triangles 2737
The triangles ABC and XYZ are similar. Find the missing lengths of the sides of the triangles. a = 5cm, b = 8cm x = 7.5cm z = 9cm
- Concerning 6294
Two isosceles triangles have the same angle at the apex concerning the base. One has a 17 cm long arm and a 10 cm long base. The second has a base length of 8 cm. Determine the length of his arm. - Tree shadow
The shadow of the tree is 16 meters long. The shadow of a two-meter-high tourist sign beside standing is 3.2 meters long. What height has a tree (in meters)? - 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 - Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area. - Two similar triangles
Find unknown sides of a similar triangles: a = 6cm, b = 8cm, c =?, a '=?, b '= 12cm, c' = 15cm
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