Tangent - math word problems - page 11 of 14
Tangent is a trigonometric function. In a rectangular triangle, it is the ratio of the opposite and adjacent side to a given internal angle. Algebraically is defined as the ratio of the sine and cosine of a given angle. It is periodic with a period of π = 180 °.Number of problems found: 271
- Decimeters 3594
From a distance of 36 meters from the chimney base, its top can be seen at an angle of 53 °. Calculate the chimney height and the result round to whole decimeters. - Circle tangent
It is given to a circle with the center S and a radius of 3.5 cm. The distance from the center to line p is 6 cm. Construct a circle tangent n which is perpendicular to the line p. - Cone
The rotating cone volume is 9.42 cm3, with a height of 10 cm. What angle is between the side of the cone and its base? - Calculate 3019
The height is 5 cm, and the size of the angle that the side of the cone with the base makes is 63 degrees. Calculate the surface and volume of this cone.
- Clouds
From two points, A and B, on the horizontal plane, a forehead cloud was observed above the two points under elevation angles 73°20' and 64°40'. Points A and B are separated by 2830 m. How high is the cloud? - Decagon prism
A regular decagon of side a = 2 cm is the base of the perpendicular prism. The side walls are squares. Find the prism volume in cm³, round to two decimal places. - Tangents construct
The circle k is given k (S; 2.5 cm) and an outer line p. Construct a tangent t of the circle that has a line p angle 60°. How many solutions have the task? - Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus. - Directional 2595
Calculate the interior angles of triangle ABC using vectors. Coordinates A [2; 4] B [4; 6] C [0; -4]. Calculate directional vectors of sides, parametric and general equations of sides, parametric and general equations of lines, calculate area, calculate h
- Road drop
On a straight stretch of road is marked a 12 percent drop. What angle makes the direction of the road with the horizontal plane? - Components 2565
The component is a regular decagon with a side of 2 cm. Its material weight of 1 m² of sheet metal is 24 kg. What is the weight of 200 components? - Pyramid 8
Calculate the volume and the surface area of a regular quadrangular pyramid with a base side of 9 cm and a side wall with the base has an angle of 75°. - Tetrahedral pyramid
Calculate the regular tetrahedral pyramid's volume and surface if the area of the base is 20 cm² and the deviation angle of the side edges from the plane of the base is 60 degrees. - 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 write in degree minutes.
- 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. - Height difference
What height difference is overcome if we pass a road 1 km long with a pitch21 per mille? - Railway
Railway line had on 5.8 km segment climb nine permille. How many meters does the track ascent? - 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. - 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.
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