Sine - examples
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.
- Square pyramid
Calculate the volume of the pyramid with the side 5cm long and with a square base, side-base has angle of 60 degrees.
- Parallelogram +ľ
| AB | = 76cm, | BC | = 44cm, angle BAD = 30 °. Find the area of the parallelogram.
- Angles by cosine law
Calculate the size of the angles of the triangle ABC, if it is given by: a = 3 cm; b = 5 cm; c = 7 cm (use the sine and cosine theorem).
- Right triangle trigonometrics
Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60° and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent)
Between cities A and B is route 3 km long of rise average 4‰. Calculate the height difference of cities A and B.
Is true equality? ?
Boys run kite on a cable of 86 meters long. What is the kite altitude, if the angle from the horizontal plane is 77°?
- Height 2
Calculate the height of the equilateral triangle with side 43.
The longer leg of a 30°-60°-90° triangle measures 7. What is the length of the shorter leg?
- Cable car 2
Cable car rises at an angle 39° and connects the upper and lower station with an altitude difference of 345 m. How long is the track of cable car?
- Trigonometric functions
In right triangle is: ? Determine the value of s and c: ? ?
The observer sees straight fence 100 m long in 30° view angle. From one end of the fence is 119 m. How far is it from the another end of the fence?
- Hexagon A
Calculate area of regular hexagon inscribed in circle with radius r=7 m.
- Maximum area of rhombus
Calculate the interior angles at which equilateral rhombus has maximum area.
- Regular 5-gon
Calculate area of the regular pentagon with side 11 cm.
If you know that cos(α) = sin (-968°), what is the angle α?
Steeple seen from the road at an angle of 57°. When we zoom out to 25 meters, it is seen at an angle of 21°. What is high?
- Equilateral triangle
How long should be the minimum radius of the circular plate to be cut equilateral triangle with side 7 mm from it?
Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 20 cm.
What is the side length of the regular 5-gon inscribed in a circle of radius 11 cm?
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