# Goniometry and trigonometry - math word problems

#### Number of problems found: 336

- Forces

In point O acts three orthogonal forces: F_{1}= 20 N, F_{2}= 7 N, and F_{3}= 19 N. Determine the resultant of F and the angles between F and forces F_{1}, F_{2}, and F_{3}. - Diagonal

Determine the dimensions of the cuboid, if diagonal long 53 dm has an angle with one edge 42° and with another edge 64°. - Right

Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 3a +4b = 4.9c - Climb

Road has climbing 1:27. How big is a angle corresponds to this climbing? - Pentagon

Calculate the area of a regular pentagon, which diagonal is u=16. - Statue

On the pedestal high 4 m is a statue 2.7 m high. At what distance from the statue must the observer stand to see it at the maximum viewing angle? Distance from the eye of the observer from the ground is 1.7 m. - Cuboid

Find the dimensions of cuboid a, b, c; if diagonal d=9 dm has an angle with edge α=55° and has an angle with edge b β=58° - Triangle

Calculate the area of the right triangle ΔABC if one leg is long 14 and its opposite angle is 59°. - Angle between lines

Calculate the angle between these two lines: p: -8x +4y +5 =0 q: 10x +10y -7=0 - Mast

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 angle 45°12'. - Felix

Calculate how much land saw Felix Baumgartner after jump from 32 km above ground. The radius of the Earth is R = 6378 km. - Arc and segment

Calculate the length of circular arc l, area of the circular arc S_{1}and area of circular segment S_{2}. Radius of the circle is 11 and corresponding angle is (2)/(12) π. - Height 2

Calculate the height of the equilateral triangle with side 27. - 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) - Trigonometry

Is true equality? sin(x +13 π)= sin(x) - Box

Calculate the angle between box base 9 x 14 and body diagonal length 18. - The angle of lines

Calculate the angle of two lines y=x-21 and y=-2x+14 - V-belt

Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm. - Earth parallel

Earth's radius is 6370 km long. Calculate the length parallel of latitude 50°. - Trigonometry

If you know that cos(γ) = sin (806°), what is the angle γ?

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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.