# Sine - problems

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. Observer
The observer sees straight fence 100 m long in 30° view angle. From one end of the fence is 153 m. How far is it from the another end of the fence?
6. Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
7. IS triangle
Calculate interior angles of the isosceles triangle with base 38 cm and legs 26 cm long.
8. Pentagon
Calculate the area of regular pentagon, which diagonal is u=17.
9. 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'.
10. Rectangle
Calculate the length of the side GN and diagonal QN of rectangle QGNH when given: |HN| = 25 cm and angle ∠ QGH = 28 degrees.
11. Maximum area of rhombus
Calculate the interior angles at which equilateral rhombus has maximum area.
12. Diagonal
Determine the dimensions of the cuboid, if diagonal long 53 dm has angle with one edge 42° and with other edge 64°.
13. 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°?
14. Arc and segment
Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. Radius of the circle is 33 and corresponding angle is ?.
15. Angles
Determine the interior angles of a rhombus with area 319.1 cm2 and perimeter 72 cm.
16. 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?
17. 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°?
18. Equilateral triangle
How long should be the minimum radius of the circular plate to be cut equilateral triangle with side 19 cm from it?
19. Hexagon A
Calculate area of regular hexagon inscribed in circle with radius r=9 cm.