Sine - math word problems - page 14 of 17
Number of problems found: 321
- Goat and circles
What is the radius of a circle centered on the other circle, and is the intersection of the two circles equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which
- Sphere in cone
A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions.
- Building elevation angle
In the building, I focused at an angle 30°. When I moved the 5 m building, I focused at an angle 45°. What is the height of the building?
- Sinus
Determine the smallest integer p for which the equation 4 sin x = p has no solution.
- Hexagon 5
The distance of parallel sides of regular hexagons is 61 cm. Calculate the length of the radius of the circle described in this hexagon.
- De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers.
- ISO trapezium
Calculate the area of an isosceles trapezoid with base 95 long, leg 27 long, and with the angle between the base and leg 70 degrees.
- 30-60-90
The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg?
- Chord - TS
The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS?
- Cable car 2
The cable car rises at an angle of 16° and connects the upper and lower station with an altitude difference of 1082 m. How long is the cable car's track?
- Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=15 cm.
- Ball
The soldier fired the Ball at an angle of 57° at an initial velocity of 186 m/s. Determine the length of the litter. (g = 9.81 m/s²).
- Rectangle
Calculate the length of the side HM and diagonal EM of rectangle EHMQ when given: |QM| = 29 cm and angle ∠ EHQ = 36 degrees.
- Isosceles triangle
What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m?
- Diagonals
The rhombus has two diagonals, e=14 dm, and f=11 dm. Calculate the side angle and height of the rhombus.
- Boat
A force of 240 kg (2400 N) is required to pull a boat up a ramp inclined at 10° with horizontal. How much does the boat weigh?
- Tower
How many m² of the copper plate should be replaced on the roof of the conical tower shape with a diameter 23 m, and the angle at the axial section's vertex is 119°?
- n-gon
What is the side length of the regular 5-gon inscribed in a circle of radius 12 cm?
- Diagonal
The diagonal of the rectangle has a length of 41.4 cm. The angle between the diagonal and longer side of the rectangle is 26°. Calculate the area of the rectangle.
- Gon functions
Decide which numbers (values of trigonometric functions) are positive or negative (or zero). Positive mark +1 and negative -1.
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Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.