# Sine - math word problems

#### Number of problems found: 155

• Sphere in cone
A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions.
• Height difference
What height difference overcome if we pass road 1 km long with a pitch21 per mille?
• Chord - TS
The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS?
• The aspect ratio
The aspect ratio of the rectangular triangle is 13: 12: 5. Calculate the internal angles of the triangle.
• Decagon
Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m
• Hexagon A
Calculate area of regular hexagon inscribed in circle with radius r=9 cm.
• Rhombus
Internal angles of rhombus is in ratio 2:3. How many times is the shorter diagonal longer than side of rhombus?
• Triangle
Calculate the area of ​​the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius).
• n-gon
What is the side length of the regular 5-gon inscribed in a circle of radius 12 cm?
• Equilateral triangle
How long should be the minimum radius of the circular plate to be cut equilateral triangle with side 19 cm from it?
• Angle in RT
Determine the size of the smallest internal angle of a right triangle whose sides constitutes sizes consecutive members of arithmetic progressions.
• Right triangle
A right triangle ABC is given, c is a hypotenuse. Find the length of the sides a, b, the angle beta if c = 5 and angle alfa = A = 35 degrees.
• Maximum area of rhombus
Calculate the interior angles at which equilateral rhombus has a maximum area.
• Hexagon 5
The distance of parallel sides of regular hexagonal is 61 cm. Calculate the length of the radius of the circle described to this hexagon.
• Regular 5-gon
Calculate the area of the regular pentagon with side 7 cm.
• Isosceles triangle 10
In an isosceles triangle, the equal sides are 2/3 of the length of the base. Determine the measure of the base angles.
• Railway
Railway line had on 5.8 km segment climb 9 permille. How many meters track ascent?
The ladder has a length of 3 m and is leaning against the wall, and its inclination to the wall is 45°. How high does it reach?
• Goat
Meadow is a circle with radius r = 19 m. How long must a rope to tie a goat to the pin on the perimeter of the meadow to allow goat eat half of meadow?
• Nine-gon
Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 13 cm.

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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.