Sine - math word problems - page 12 of 13
Number of problems found: 252
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 102 m. How far is it from another end of the fence?
- Triangle and its heights
Calculate the length of the sides of the triangle ABC if va=5 cm, vb=7 cm and side b are 5 cm shorter than side a.
- Equilateral triangle
How long should the minimum radius of the circular plate be cut into an equilateral triangle with side 19 cm from it?
- Triangle in circle
Vertices of the triangle ABC lies on a circle with radius 3 so that it is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC.
- IS triangle
Calculate interior angles of the isosceles triangle with base 40 cm and legs 22 cm long.
Internal angles of a rhombus are in ratio 2:3. How many times is the shorter diagonal longer than the side of the rhombus?
Find the interior angles of a rhombus with area 319.1 cm² and perimeter 72 cm.
- Regular 5-gon
Calculate the area of the regular pentagon with side 7 cm.
- Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid.
Calculate the circumference and area of the rhomboid with sides 20 and 14, with their angle 50°.
If the angle α is acute, and cotan α = 1/3. Determine the value of sin α, cos α, and tan α.
Determine the dimensions of the cuboid if diagonal long 60 dm has an angle with one edge 35° and with another edge 77°.
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 3a +4b = 4.9c
Calculate the area of a regular pentagon, which diagonal is u=16.
Find the dimensions of cuboids a, b, and c; if diagonal d=9 dm has an angle with edge α=55° and has an angle with edge b β=58°
Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 13.3°. Determine the height of the mast if the sun above the horizon is at an angle 45°12'.
- Arc and segment
Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. The circle's radius is 11, and the corresponding angle is (2)/(12) π.
- Height 2
Calculate the height of the equilateral triangle with side 48.
We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon?
- Trigonometric functions
In the right triangle is: tg α= frac(2) 1 Find the value of s and c: sin α= (s)/(√ 5) cos α= (c)/(√ 5)
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.