Goniomentry and trigonometry - math word problems
- Triangle and its heights
Calculate the length of the sides of the triangle ABC, if va=5 cm, vb=7 cm and side b is 5 cm shorter than side a.
How high is the building that throws horizontal shadow 95.4 m long at angle 50°?
- Equilateral triangle
How long should be the minimum radius of the circular plate to be cut equilateral triangle with side 19 cm from it?
From the observatory 11 m high and 24 m from the river bank, river width appears in the visual angle φ = 13°. Calculate width of the river.
- 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.
What is the slope of a line with an inclination 6.06 rad?
- IS triangle
Calculate interior angles of the isosceles triangle with base 46 cm and legs 49 cm long.
Internal angles of rhombus is in ratio 2:3. How many times is the shorter diagonal longer than side of rhombus?
Determine the interior angles of a rhombus with area 319.1 cm2 and perimeter 72 cm.
- Regular 5-gon
Calculate area of the regular pentagon with side 7 cm.
- Earth's circumference
Calculate the Earth's circumference of the parallel 48 degrees and 10 minutes.
Calculate the circumference and area of the rhomboid with sides 20 and 14, with their angle 50°.
If the angle α is acute, and cotg α = 1/3. Determine the value of sin α, cos α, tg α.
- 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.
- Triangle TBC
TBC is isosceles triangle with base TB with base angle 63° and legs length |TC| = |BC| = 25. How long is the base TB?
Determine the dimensions of the cuboid, if diagonal long 53 dm has angle with one edge 42° and with other edge 64°.
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
In point O acts three orthogonal forces: F1 = 20 N, F2 = 7 N and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2 and F3.
Road has climbing 1:27. How big is a angle corresponds to this climbing?
Calculate the area of regular pentagon, which diagonal is u=17.
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.