Cosine - math word problems - last page

Number of problems found: 295

Right
Determine the angles of a right triangle with hypotenuse c and legs a and b, if: 2a +5b = 5.283c
Pentagon
Calculate the area of a regular pentagon whose diagonal has length u = 18.
Cuboid
Find the dimensions a, b, and c of a cuboid whose space diagonal is d = 6 dm and makes an angle α = 35° with edge a and an angle β = 66° with edge b.
Angle between lines
Calculate the angle between the following two lines: p: -4x +7y +7 =0 q: -x +4y +7=0
Mast
A mast casts a shadow of length 16 on a slope that rises from the base of the mast in the direction of the shadow at an angle of 9.7°. Determine the height of the mast if the sun is at an angle of 40°48'° above the horizon.
Trigonometric functions
In a right triangle, it holds that: tg α= frac(4) 2 Find the values of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20)
Box
Calculate the angle between the base of a cuboid with dimensions 5 × 10 and its space diagonal of length 13.
Earth parallel
The Earth's radius is 6377 km. Calculate the circumference of the parallel at latitude 75°.
Heron backlaw
Calculate the length of the unknown side of a triangle with sides 39 and 38 and area 438.6.
Trigonometry
Given that cos(γ) = sin(806°), find the angle γ.
Steeple
A church tower is seen from the road at an elevation angle of 52°. When we move back a further 29 metres, it is seen at an elevation angle of 21°. How tall is the tower?
Chord MN
Chord MN of a circle has a distance of 28 cm from the centre S. Angle MSN is 54°. Determine the radius of the circle.
Triangle SAS
Calculate the area and perimeter of a triangle if two sides are 46 m and 33 m long and the angle between them is 170°.
Rotation of the Earth
Calculate the linear speed of the Earth's surface at a latitude of 34.5°. Assume a globe with a radius of 6378 km.
Right triangle
Calculate the unknown side b, all interior angles, the perimeter, and the area of a right triangle if a = 10 cm and hypotenuse c = 16 cm.

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