Length + angle - practice problems - page 15 of 16
Number of problems found: 306
- Cuboid
Find the dimensions of cuboids a, b, and c; if diagonal d=9 dm has an angle with edge α=55° and has an angle with edge b β=58° - Rail turn
The curve radius on the railway line is 532 m. The length of the rail track on it is 818 m. How many degrees is the angle ASB if A and B are boundary points and S is the center of the arc curve? - River
Calculate how many permille river Dunaj average falls, if on section long 957 km flowing water from 1454 m AMSL to 101 m AMSL. - 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'.
- 4-gon
Is it true that a 4-gon whose two sides are parallel and the other two have equal length is a parallelogram? - 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. - 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? - Meridian
What is the distance (length) of the Earth's meridian 15° when the radius of the Earth is 6370 km? - Diagonal
Can a rhombus have the same length, diagonal, and side?
- Chord
The point on the circle is the endpoint of diameter and endpoint of the chord length of the radius. What angle between chord and diameter? - Box
Calculate the angle between box base 9 x 14 and body diagonal length 18. - Gear wheels
Two gear wheels, which fit together, have the number of teeth z1=117 and z2=70. Calculate the speed of the first wheel if the second wheel rotates 582 revolutions per minute. - V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm. - Earth parallel
Earth's radius is 6370 km long. Calculate the length parallel to latitude 50°.
- Track arc
Two straight tracks are at an angle 74°. They will join with a circular arc with a radius r=1127 m. How long will the arc be connecting these lines (L)? How far is the arc's center point from track crossings (x)? - Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm². - Cable car
The cable car rises at an angle of 44° and connects the upper and lower station with an altitude difference of 1089 m. How long is an "endless" tow rope? - Black building
Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m² for a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth - Circle and angle
What is the length of the arc of a circle with radius r = 207 mm with central angle 5.33 rad?
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