Unit conversion of Angle Problems - page 3 of 25
Number of problems found: 491
- In a regular 5
In a regular triangular prism ABCV, the angle between the lateral face and the base plane is α = 45°. Determine the angle between the lateral edge and the base plane. - The tower
From a window 8 m above the horizontal plane, the top of a tower can be seen at an elevation angle of 53°20′, and its base at a depression angle of 14°15′. How high is the tower? - On a mass
Forces F₁ and F₂, each with a magnitude of 40 N, act on a mass point M. Their resultant has a magnitude of 60 N. Determine the angle between forces F₁ and F₂. - Base RR odd
The base of a prism is an isosceles trapezoid ABCD with bases AB = 12 cm and CD = 9 cm. The angle at vertex B is 48°10′. Determine the volume and surface area of the prism if its height is 35 cm. - Area 51
The area of a triangle is 54.39, angle alpha is 32°, and angle gamma is 144°. - Determine the surface area
Find the surface area of a cone of height 30 cm whose slant side makes an angle of 60° with the base plane. - Mirror
The dimensions of a mirror are 750 mm × 700 mm, and the mirror is to be tilted 8° away from the wall. How many centimetres must the bottom of the mirror protrude from the wall? - Quadrilateral - irregular
Find the length of side d = |AD| in quadrilateral ABCD: a = 35 m, b = 120 m, c = 85 m, angle ABC = 105°, angle BCD = 72°. - Unit circle
In the Cartesian coordinate system, a unit circle is given on which points A and B lie. Point O is the origin with coordinates (0, 0), and point B has coordinates (1, 0). The size of angle BOA is 151°. Determine the x-coordinate of point A. - Rhombus 48
A large rhombus is composed of four identical smaller rhombuses, each with an area of 42 m² and an angle alpha of 60°. What is the perimeter of the large rhombus? - Rhombus - diagonals
Rhombus ABCD has diagonals u₁ and u₂ that make an angle of 60° with each other. Side a = 80 cm and side b = 50 cm. Calculate the area of the rhombus. - Graduation of the track
The gradient of the track is 9 per mille, and the distance along the slope [AC] is 560 m. Determine angle alpha and the distance [AB], which is the height between A and B. A / | B/____________C - Maturitný - RR - base
In an isosceles triangle ABC with base AB, ∠BAC = 20° and AB = 4. The angle bisector from vertex B intersects side AC at point P. Calculate the length of segment AP. Give the result to two decimal places. - Segments on the hypotenuse
A right triangle ABC has a hypotenuse c = 26 cm. The altitude from C to the hypotenuse is h_c = 12 cm. What are the lengths of the two segments of the hypotenuse? What are the lengths of sides a and b? What are the angles at vertices A and B? - In trapezoid 3
In trapezoid ABCD, the following elements are given: lengths of the parallel sides a = 20 cm and c = 11 cm, angle α = 63°36', and angle β = 79°36'. Calculate the lengths of the other two sides and the sizes of the remaining angles. - Wall and ladder
A ladder leans against a wall, reaching a height of 6.5 m. How long is the ladder if it makes an angle of 60° with the horizontal floor? - In a right-angled 17
In right triangle DEF with hypotenuse f = 12 cm, the interior angle at vertex D is 60°. What is the length of side e? - Right Triangle Angle
In a right triangle ABC, hypotenuse c = 8 cm and leg b = 4 cm. What is the size of angle α? - What is 19
What is the length of the hypotenuse c of right triangle ABC if the angle α at vertex A is 30° and leg a = 3 cm? - Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between adjacent vertices of the flower bed.
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