Angle + cosine - math problems
Number of problems found: 123
The point (3, 4) is on the terminal side of angle θ. cos θ = ?
Calculate the cosine of the smallest internal angle in a right-angled triangle with cathetus 3 and 8 and with the hypotenuse 8.544.
- Right triangle trigonometrics
Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60° and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent)
- Angle between lines
Calculate the angle between these two lines: ? ?
AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD
The building I focused at an angle 30°. When I moved 5 m building I focused at an angle 45°. What is the height of the building?
- Scalar dot product
Calculate u.v if |u| = 5, |v| = 2 and when angle between the vectors u, v is: a) 60° b) 45° c) 120°
- Scalene triangle
Solve the triangle: A = 50°, b = 13, c = 6
- Greatest angle
Calculate the greatest triangle angle with sides 197, 208, 299.
Determine the dimensions of cuboid a, b, c; if diagonal d=9 dm has angle with edge a α=55° and has angle with edge b β=58°
- Angle between vectors
Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20)
Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 13.3°. Determine the height of the mast, if the sun above the horizon is at angle 45°12'.
If the angle α is acute, and cotg α = 1/3. Determine the value of sin α, cos α, tg α.
Two separate cuboids with different orientation in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62955056, 0.094432584, 0.77119944) u2=(0.14484653, 0.9208101, 0.36211633)
Calculate the length of the diagonals of the rhombus if its side is long 5 and one of its internal angle is 80°.
- Right angle
In a right triangle ABC with a right angle at the apex C, we know the side length AB = 24 cm and the angle at the vertex B = 71°. Calculate the length of the legs of the triangle.
Between points A and B is 50m. From A we see a tree at an angle 18°. From point B we see the tree in three times bigger angle. How tall is a tree?
Approximately at what height is the cloud we see under an angle of 26°10' and see the Sun at an angle of 29°15' and the shade of the cloud is 92 meters away from us?
- Side c
In △ABC a=2, b=4 and ∠C=100°. Calculate length of the side c.
If you know that cos(γ) = sin (806°), what is the angle γ?
Angle Problems. Cosine - math word problems.