Unit conversion of Angle Problems - page 24 of 25
Number of problems found: 491
- Rail turn
The curve radius on a railway line is 532 m. The length of the rail track along this curve is 818 m. What is the angle ASB in degrees, where A and B are the endpoints of the curve and S is the centre of the arc? - Triangle
Calculate the area of right triangle ΔABC if one leg has length 12 and the angle opposite to it is 47°. - River
Calculate the average gradient in per mille of river Hudson, given that along a 952 km section the water flows from 1231 m above sea level down to 131 m above sea level. - Angle between lines
Calculate the angle between the following two lines: p: -4x +7y +7 =0 q: -x +4y +7=0 - Mast
A mast casts a shadow of length 16 on a slope that rises from the base of the mast in the direction of the shadow at an angle of 9.7°. Determine the height of the mast if the sun is at an angle of 40°48'° above the horizon. - Height 2
Calculate the height of an equilateral triangle with side 22. - Box
Calculate the angle between the base of a cuboid with dimensions 5 × 10 and its space diagonal of length 13. - The angle of lines
Calculate the angle between the two lines y = x-8 and y = +12. - Minute angle
Find the angle swept by the minute hand of a clock in 30 minutes. - Earth parallel
The Earth's radius is 6377 km. Calculate the circumference of the parallel at latitude 75°. - Track arc
Two straight railway tracks meet at an angle of 126°. They are joined by a circular arc with radius r = 1110 m. How long is the connecting arc (L)? How far is the centre of the arc from the intersection of the tracks (x)? - Cable car
A cable car rises at an angle of 44° and connects the upper and lower stations with an altitude difference of 1089 m. How long is the continuous (endless) tow rope? - Trigonometry
Given that cos(γ) = sin(806°), find the angle γ. - Steeple
A church tower is seen from the road at an elevation angle of 52°. When we move back a further 29 metres, it is seen at an elevation angle of 21°. How tall is the tower? - Glass of juice
A cylindrical glass 13 cm tall with a base diameter of 9 cm is filled with juice to a level 3 cm below the rim. Determine the maximum angle to which the glass can be tilted without the juice spilling. - Chord MN
Chord MN of a circle has a distance of 28 cm from the centre S. Angle MSN is 54°. Determine the radius of the circle. - Black building
Jozef built a building with a rectangular footprint of 3.9 m × 6.7 m. Calculate by what percentage the building exceeds the legal limit of 25 m² for a small building. A building constructed without planning permission is called an illegal building. Also c - Descent of road
A road sign shows a gradient of 10.9%. Calculate the angle of inclination of the slope. - Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm. - Circle and angle
What is the arc length of a circle with radius r = 432 dm corresponding to a central angle of 0.53 rad?
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