# Goniometry and trigonometry - math word problems

#### Number of problems found: 393

• Angle A straight line p given by the equation ?. Calculate the size of angle in degrees between line p and y-axis.
• Sinus Determine the smallest integer p for which the equation 4 sin x = p has no solution.
• Cosine The point (3, 4) is on the terminal side of angle θ. cos θ = ?
• Box Calculate the angle between box base 9 x 14 and body diagonal length 18. Road sign informs the gradient is 10.3%. Calculate the angle which average decreases. 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?
• EQL triangle Calculate inradius and circumradius of equilateral triangle with side a=77 cm.
• Motor oil 30 liters of oil cost 28.80 Euros. How much cost a liter?
• Angle between vectors Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20)
• Cosine Calculate the cosine of the smallest internal angle in a right-angled triangle with cathetus 3 and 8 and with the hypotenuse 8.544.
• Hole's angles I am trying to find an angle. The top of the hole is .625” and the bottom of the hole is .532”. The hole depth is .250” what is the angle of the hole (and what is the formula)?
• Cube - angles Calculate angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and cube base.
• SAS triangle The triangle has two sides long 7 and 19 and included angle 36°. Calculate area of this triangle.
• Pilot How high is the airplane's pilot to see 0.001 of Earth's surface?
• Earth parallel Earth's radius is 6370 km long. Calculate the length parallel of latitude 50°.
• Decagon Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m
• The cable car The cable car has a length of 3,5 kilometers and an angle of climb of 30 degrees. What is the altitude difference between Upper and Lower Station?
• Triangle SAA The triangle has one side long 71 m and its two internal angles is 60°. Calculate the perimeter and area of the triangle.
• Tank 11 When 150 litres has been drawn from a tank it is 3/8 full, how many litres will the tank hold?
• Pentagon Calculate the area of a 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.