Cosine + triangle - practice problems - page 12 of 13
Number of problems found: 246
- Cone
Calculate the volume and surface area of the cone with a diameter of the base d=15 cm and the side of the cone with the base has angle 52°. - 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[19, -4] L[9, 13] M[-20, 8] give Triangle KLM. Calculate its area and its interior angles. - Triangle
Calculate the area of the triangle ABC if b = c = 17 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 150m 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=6, 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=5 cm, vb=7 cm and side b are 5 cm shorter than side a.
- IS triangle
Calculate interior angles of the isosceles triangle with base 40 cm and legs 22 cm long. - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Earth's circumference
Calculate the Earth's circumference of the parallel 48 degrees and 10 minutes. - Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Triangle TBC
TBC is isosceles triangle with base TB with base angle 63° and legs length |TC| = |BC| = 25. How long is the base TB?
- Forces
In point, O acts three orthogonal forces: F1 = 20 N, F2 = 7 N, and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2, and F3. - Diagonal
Determine the dimensions of the cuboid if diagonal long 60 dm has an angle with one edge 35° and with another edge 77°. - Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 3a +4b = 4.9c - Pentagon
Calculate the area of a regular pentagon, which diagonal is u=16. - Mast
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 an angle 45°12'.
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