Unit conversion of Angle Problems - page 19 of 25
Number of problems found: 491
- Church tower
Archdeacon church in Usti nad Labem has diverted the tower by 186 cm. The tower is 65 m high. Calculate the angle by which the tower is tilted. Results are written in degree minutes. - Circular pool
The pool's base is a circle with a radius r = 10 m, excluding a circular segment that determines the chord length of 10 meters. The pool depth is h = 2 m. How many hectoliters of water can fit into the pool? - 4side pyramid
Calculate the volume and surface of the regular four-sided pyramid whose base edge is 4 cm long. The angle from the plane of the sidewall and base plane is 60 degrees. - Radiolocators
An aircraft took off from airport L, is flying in a straight direction at constant altitude, and is being tracked by two radiolocators placed such that their stations A, B and airport L lie in a line. At the first measurement, the aircraft was registered - Railway
The railway line climbs 8 per mille between points A and B, whose horizontal distance is 1.5 km. It climbs 14 per mille between points B and C, which have a horizontal distance of 900 m. Calculate the differences in altitudes between points A and C. - Chimney
The lower circumference of the chimney is 12.57 m, and the top circumference is 5.655 m. The slope of the walls is 87°. Find the height of the chimney. - The cone
The cone's lateral surface area is 4 cm², and the area of the base is 2 cm². Find the angle in degrees (deviation) of the cone sine and the cone base plane. (The cone side is the segment joining the vertex cone with any point of the base circle. All sides - Height of the arc - formula
Calculate the arc's height if the arc's length is 65 and the chord length is 33. Does there exist a formula to solve this? - Clock
What distance will pass the end of an 8 cm long hour hand for 15 minutes? - Airplane navigation
An airplane leaves an airport and flies west 120 miles and then 150 miles in the direction S 35.95°W. How far is the plane from the airport (round to the nearest mile)? - Two triangles SSA
We can form two triangles with the given information. Use the Law of Sines to solve the triangles. A = 59°, a = 13, b = 14 - Two forces
Two forces with magnitudes of 25 and 30 pounds act on an object at 10° and 100° angles. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and your final answer. - Bearing - navigation
A ship travels 84 km on a bearing of 17° and then travels on a bearing of 107° for 135 km. Find the distance of the end of the trip from the starting point to the nearest kilometer. - Measurements of a triangle
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 50°, b = 30 ft, c = 14 ft - Paper box
Calculate the paper consumption on the box-shaped quadrilateral prism with rhombic footstall, base edge a=6 cm, and the adjacent base edges form an angle alpha = 60 °. The box height is 10 cm. How much m² of the paper is consumed 100 such boxes? - Nine-gon
Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 18 cm. - Road - permille
A 5 km long road begins at an altitude 500 meters above sea level and ends at an altitude of 521 ASL. How many per mille road rises? - Flowerbed
The flowerbed has the shape of a truncated pyramid. The bottom edge of the base a = 10 m, and the upper base b = 9 m. The deviation angle between the edge and the base is alpha = 45°. What volume is needed to make this flowerbed? How many plants can be pl - Pyramid - angle
Calculate the regular quadrilateral pyramid's surface, the base edge of which is measured 6 cm, and the deviation from the plane of the base's sidewall plane is 50 degrees. - High wall
I have a wall 2 m high. I need a 15-degree angle (upward) to the second wall 4 meters away. How high must the second wall be?
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