Cosine - math word problems - page 14 of 15
Number of problems found: 295
- Geodesist
Triangle-shaped field (triangle ABC) has a side AB = 129 m. path XY is parallel to the side AB, which divides triangle ABC into two parts with the same area. What will be the length of path XY? Help, please, geodesist. - Rotary cone
The volume of the rotation of the cone is 733 cm³. The angle between the side of the cone and the base angle is 75°. Calculate the lateral surface area of this cone. - Cone
Calculate the volume and surface area of the cone with a diameter of the base d=16 cm and the side of the cone with the base has angle 37°12'. - Diagonal
The diagonal of the rectangle has a length of 39.5 cm. The angle between the diagonal and longer side of the rectangle is 43°. Calculate the area of the rectangle. - Gon functions
Decide which numbers (values of trigonometric functions) are positive or negative (or zero). Positive mark +1 and negative -1. - Triangle
Plane coordinates of vertices: K[9, 5] L[-4, 8] M[3, 20] give Triangle KLM. Calculate its area and its interior angles. - Triangle
Calculate the area of the triangle ABC if b = c = 18 cm, R = 19 cm (R is the circumradius). - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α . - Greatest angle
Calculate the greatest triangle angle with sides 124, 323, 302. - Two boats
Two boats are located from a height of 150 m above the lake's surface at depth angles of 57° and 39°. Find the distance of both boats if the sighting device and both ships are in a plane perpendicular to the lake's surface. - Side c
In △ABC a=1, b=6 and ∠C=110°. Calculate the length of the side c. - Triangle and its heights
Calculate the length of the sides of the triangle ABC if va=13 cm, vb=15 cm and side b are 5 cm shorter than side a. - IS triangle
Calculate the interior angles of the isosceles triangle with base 12 cm and legs 19 cm long. - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Earth's circumference
Calculate the length of the circle of latitude at 48°10′ on Earth. - Trapezoid MO
Right-angled trapezoid ABCD has a right angle at vertex B. Given that |AC| = 12, |CD| = 8, and the diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Cotangent
If the angle α is acute, and cotan α = 1/3. Determine the value of sin α, cos α, and tan α. - Triangle TBC
TBC is an isosceles triangle with base TB, base angle 75°, and equal legs |TC| = |BC| = 35. How long is the base TB? - Forces
At point G, three mutually perpendicular forces act: F₁ = 16 N, F₂ = 7 N, and F₃ = 6 N. Determine the resultant force F and the angles between F and each of F₁, F₂, and F₃. - Diagonal
Determine the dimensions of a cuboid whose space diagonal is 60 dm and makes an angle of 35° with one edge and 77° with another edge.
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