Tangent - practice for 14 year olds - last page
Number of problems found: 180
- N-gon II
What is the side length of the regular 9-gon circumscribed circle of radius 13 cm? - Cone
Calculate the volume and surface area of the cone with a diameter of the base d=15 cm and the side of the cone with the base has angle 52°. - Block
Calculate the volume of a cuboid ABCDEFGH if |AB| = 7 cm, |BC| = 8 cm and the angle ∠CDG = 30.1° - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α .
- 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? - Aircraft
The plane flies at altitude 6300 m. At the time of the first measurement was to see the elevation angle of 21° and the second measurement of the elevation angle of 46°. Calculate the distance the plane flew between the two measurements. - Reflector
The circular reflector throws a light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane? - River
From the observatory 11 m high and 24 m from the riverbank, river width appears in the visual angle φ = 13°. Calculate the width of the river. - Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'?
- Slope
What is the slope of a line with an inclination 3.96 rad? - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 3a +4b = 4.9c - Climb
The road has climbing 1:27. How big is an angle correspond to this climbing?
- 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'. - V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm. - Steeple
We see the church tower from the road at an angle of 52°. When we zoom out to 29 meters away, it can be seen at an angle of 21°. How high is it? - Glass of juice
The glass of juice-shaped cylinder 16 cm height and base diameter of 9 cm is filled with juice so that the level is 1 cm below the rim of the glass. Determine the maximum angle of the cup that we can tilt so the juice doesn't overflow. - Circles
Three circles of radius 30 cm, 28 cm, and 37 cm are mutually tangent. What is the triangle perimeter whose vertices are the circles' centers?
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