Sine - practice for 13 year olds - page 5 of 6
Number of problems found: 103
- Tower
How many m² of the copper plate should be replaced on the roof of the conical tower shape with a diameter 23 m, and the angle at the axial section's vertex is 119°? - n-gon
What is the side length of the regular 5-gon inscribed in a circle of radius 12 cm? - SAS triangle
The triangle has two sides, long 7 and 19, and makes included angle 110°42'. Calculate the area of this triangle. - Climb
The road sign which informs the climb is 8.7%—the car drive 5 km along this road. What is the height difference that the car went?
- Parallelogram
Calculate area of the parallelogram ABCD as shown if |AB| = 13 cm, |BC| = 99 cm and angle BAD = 100° - Equilateral triangle
How long should the minimum radius of the circular plate be cut into an equilateral triangle with side 21 cm from it? - IS triangle
Calculate interior angles of the isosceles triangle with base 40 cm and legs 22 cm long. - Rhombus
Internal angles of a rhombus are in ratio 2:3. How many times is the shorter diagonal longer than the side of the rhombus? - Angles
Find the interior angles of a rhombus with area 319.1 cm² and perimeter 72 cm.
- Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Rhomboid
Calculate the circumference and area of the rhomboid with sides 19 and 20, with their angle 40°. - Pentagon
Calculate the area of a regular pentagon, which diagonal is u=16. - Mast
Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 13.3°. Determine the height of the mast if the sun above the horizon is at an angle 45°12'. - Arc and segment
Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. The circle's radius is 11, and the corresponding angle is (2)/(12) π.
- Height 2
Calculate the height of the equilateral triangle with side 48. - Octagon
We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon? - Kites
Boys run kites on a cable of 68 meters long. What is the kite altitude if the angle from the horizontal plane is 72°? - Maximum area of rhombus
Calculate the interior angles at which the equilateral rhombus has a maximum area. - Road
Between cities A and B is a route 13 km long of average 7‰ stúpanie. Calculate the height difference between cities A and B.
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