Practice problems of the unit conversion of an angle - page 2 of 14
Number of problems found: 273
- Arc
Convert to arc measures (radians): 919 ° The result write as a multiple of π - Clocks 5511
What angle do the clocks make at 4:30? - Fahrenheit 2 Celsius
If the temperature is 86 degrees Fahrenheit, what is the same temperature in Celsius? - Degrees to radians
Convert magnitude of the angle α = 502°47'25" to radians: - Obtuse angle
Which obtuse angle is creating clocks at 17:00? - Elevation 80869
We can see the top of the tower standing on a plane from a certain point A at an elevation angle of 39° 25''. If we come towards its foot 50m closer to place B, we can see the top of the tower from it at an elevation angle of 56° 42''. How tall is the tow - Slope of the pool
Calculate the slope (rise:run) of the bottom of the swimming pool long 10 m. The water depth at the beginning of the pool is 0.96 m (for children), and the depth at the end is 1.86 m (for swimmers). Slope express as a percentage and as the angle in degree - Determine 8202
An observer watches two boats at depth angles of 64° and 48° from the top of the hill, which is 75 m above the lake level. Determine the distance between the boats if both boats and the observer are in the same vertical plane. - Determine 67754
Adam (A) stands on one river bank, and Bedrich (B) stands on the other. To determine their distance, the base AC with a length of 136 m and the angles CAB with a size of 70°21' and ACB with a size of 43°44' were measured on one river bank. What is the dis - The chimney
How high is the chimney if we see it from a distance of 60 m at an angle of 42°? - Map - climb
On the map of the High Tatras, on a scale of 1:11000, are cable car stations in the Tatranska Lomnica and the Skalnate Pleso with a distance of 354.6 mm. The altitude of these stations is 949 m and 1760 m. What is the average angle of climb on this cable - Consumption 69174
The tower's roof has the shape of the shell of a rotating cone with a base diameter of 4.3 m. The deviation of the side from the plane of the base is 36°. Calculate the consumption of sheet metal to cover the roof, assuming 8% for waste. - Calculate 83261
Calculate the area of the triangle ABC, in which you know the side c=5 cm, the angle at the top A= 70 degrees, and the ratio of the segments cut by the height to the side c is 1:3 - Two cyclists
Two cyclists started crossing at the same time. One goes to the north speed of 20 km/h, the second eastward at a speed of 26 km/h. What will be the direct distance cycling 30 minutes from the start? - Aircraft bearing
Two aircraft will depart from the airport simultaneously. The first flight flies with a course of 30°, and the second with a course of 86°. Both fly at 330 km/h. How far apart will they be in 45 minutes of flight? - Fighter
A military fighter flies at an altitude of 10 km. The ground position was aimed at an altitude angle of 23° and 12 seconds later at an altitude angle of 27°. Calculate the speed of the fighter in km/h. - Difference 83079
On the traffic sign that informs about the road's gradient, the figure is 6.7%. Determine the slope angle of the path. What height difference is covered by the car that traveled 2.8 km on this road? - A construction
A construction worker is trying to find the height of a skyrise building. He is standing some distance away from the base with an angle of elevation of 65 degrees. The worker moves 50 feet closer and measures the angle of elevation to be 75 degrees. Find - Triangles
Find out whether the given sizes of the angles can be interior angles of a triangle: a) 23°10',84°30',72°20' b) 90°,41°33',48°37' c) 14°51',90°,75°49' d) 58°58',59°59',60°3' - 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.
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