# Cosine - math problems

#### Number of problems found: 154

• Diagonals in diamond
In the rhombus is given a = 160 cm, alpha = 60 degrees. Calculate the length of the diagonals.
• Box
Calculate the angle between box base 9 x 14 and body diagonal length 18.
• Greatest angle
Calculate the greatest triangle angle with sides 197, 208, 299.
• Sphere in cone
A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions.
• EQL triangle
• Find the area
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 50°, b = 30 ft, c = 14 ft
• Angle between vectors
Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20)
• Angle between lines
Calculate the angle between these two lines: p: -8x +4y +5 =0 q: 10x +10y -7=0
• 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.
• Diagonals
Calculate the length of the rhombus's diagonals if its side is long 5 and one of its internal angles is 80°.
• Triangle
Calculate the area of ​​the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius).
• Decide 2
Decide whether points A[-2, -5], B[4, 3] and C[16, -1] lie on the same line
• Felix
Calculate how much land saw Felix Baumgartner after jump from 32 km above ground. The radius of the Earth is R = 6378 km.
• 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.
• 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.
• Isosceles triangle 8
If the rate of the sides an isosceles triangle is 7:6:7, find the base angle correct to the nearest degree.
• The angle of view
Determine the angle of view at which the observer sees a rod 16 m long when it is 18 m from one end and 27 m from the other.
• Angle of the body diagonals
Using vector dot product calculate the angle of the body diagonals of the cube.

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