# Goniomentry and trigonometry - math word problems

- Triangle and its heights

Calculate the length of the sides of the triangle ABC, if v_{a}=5 cm, v_{b}=7 cm and side b is 5 cm shorter than side a. - Building

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? - River

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. - Slope

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. - Rhombus

Internal angles of rhombus is in ratio 2:3. How many times is the shorter diagonal longer than side of rhombus? - Angles

Determine the interior angles of a rhombus with area 319.1 cm^{2}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. - Rhomboid

Calculate the circumference and area of the rhomboid with sides 20 and 14, with their angle 50°. - Cotangent

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? - Diagonal

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

Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ? - 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}. - Climb

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

Calculate the area of regular pentagon, which diagonal is u=17.

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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.