Sine + right triangle - examples

1. Trapezoid MO
The rectangular trapezoid ABCD with right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of ​​the trapezoid.
2. Trigonometric functions
In right triangle is: ? Determine the value of s and c: ? ?
3. Triangle SAS
Calculate area and perimeter of the triangle, if the two sides are 51 cm and 110 cm long and angle them clamped is 130°.
4. Regular 5-gon
Calculate area of the regular pentagon with side 7 cm.
5. Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
6. IS triangle
Calculate interior angles of the isosceles triangle with base 38 cm and legs 26 cm long.
7. Pentagon
Calculate the area of regular pentagon, which diagonal is u=17.
8. Mast
Mast has 17 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 9.3°. Determine the height of the mast, if the sun above the horizon is at angle 44°30'.
9. Rectangle
Calculate the length of the side GN and diagonal QN of rectangle QGNH when given: |HN| = 25 cm and angle ∠ QGH = 28 degrees.
10. Diagonal
Determine the dimensions of the cuboid, if diagonal long 53 dm has angle with one edge 42° and with other edge 64°.
11. Kites
Boys run kite on a cable of 68 meters long. What is the kite altitude, if the angle from the horizontal plane is 72°?
12. Climb
On the road sign, which informs the climb is 8.7%. Car goes 5 km along this road. What is the height difference that car went?
13. Tower
How many m2 of copper plate should be to replace roof of the tower conical shape with diameter 24 m and the angle at the vertex of the axial section is 144°?
14. Equilateral triangle
How long should be the minimum radius of the circular plate to be cut equilateral triangle with side 19 cm from it?
15. Hexagon A
Calculate area of regular hexagon inscribed in circle with radius r=9 cm.
Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
17. Rhomboid
Calculate the circumference and area of the rhomboid with sides 20 and 10, with their angle 20°.
18. Steeple
Steeple seen from the road at an angle of 75°. When we zoom out to 25 meters, it is seen at an angle of 20°. What is high?
19. n-gon
What is the side length of the regular 5-gon inscribed in a circle of radius 12 cm?
20. Right triangle
Calculate the missing side b and interior angles, perimeter and area of ​​a right triangle if a=10 cm and hypotenuse c = 16 cm.

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See also our right triangle calculator. 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.