Angle - math word problems - page 25 of 64
Number of problems found: 1279
- As shown
As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6, then the perimeter of △ BDE - Construction
Construct the triangle ABC if you know: the size of the side AC is 6 cm, the size of the angle ACB is 60°, and the distance of the center of gravity T from the vertex A is 4 cm. (Sketch, analysis, notation of construction, construction) - Collision of bodies
From point A at a height of 2 m and from point B at a height of 6 m, two bodies are thrown at the same time towards each other. The first from point A with a horizontal speed of 8 m/s, and the second from the direction down at an angle of 45 degrees to th - The staircase
The staircase has a total height of 3.6 m and forms an angle of 26° with the horizontal. Calculate the length of the whole staircase. - Angle sum puzzle
Jerry had 4 angles written in his notebook, the sum of which was a right angle. The little sister rubberized one corner of it. Determine its size if the remaining angles remain written in the notebook: 12°34, 34°56, 56°9. - Line ratio division
Draw the line AB = 14 cm and divide it by the reduction angle in the ratio of 2:9. - Space diagonal angles
Calculate the angle between the body diagonal and the side edge c of the block with dimensions: a = 28 cm, b = 45 cm, and c = 73 cm. Then, find the angle between the body diagonal and the plane of the base ABCD. - Quadrilateral pyramid
The regular quadrilateral pyramid has a base edge a = 1.56 dm and a height h = 2.05 dm. Calculate: a) the deviation angle of the sidewall plane from the base plane b) deviation angle of the side edge from the plane of the base - Calculate cone
The rotating cone has a base radius r = 226 mm, and the deviation of the side from the base plane is 56°. Calculate the height of the cone. - Angle size calculation
Calculate the size of the BVC angle if the following applies to the size of the angles: AVB = 37 ° 48 minutes, CVD = 52 ° 30 minutes, AVD = 118 ° - Isosceles triangle
An isosceles triangle has an angle against the base that measures 55°. What is the size of the angle at the base of an isosceles triangle? (Calculation and procedure) - Five circles
On the line segment CD = 6, there are five circles with one radius at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE. - Tangents to ellipse
Find the magnitude of the angle at which the ellipse x² + 5 y² = 5 is visible from the point P[5, 1]. - Refractive index
The light passes through the interface between air and glass with a refractive index of 1.5. Find: (a) the angle of refraction if light strikes the interface from the air at an angle of 40°. (b) the angle of refraction when light hits the glass interface - Quadrilateral prism
The height of a regular quadrilateral prism is v = 10 cm, and the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the prism's volume. - Digging a pit
The pit has the shape of a regular quadrilateral truncated pyramid. The edges of the bases are 14 m and 10 m long. The sidewalls form an angle of 135° with a smaller base. Find how many m³ of soil were excavated when digging the pit. - Maximum of volume
The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum? - Right triangle
A right triangle ABC is given, and c is a hypotenuse. Find the length of the sides a, b, the angle beta if c = 5 and angle alfa = A = 35 degrees. - Trapezoid - construction
Construct a trapezoid KLMN, where: k = 9 cm, l = 4 cm, m = 5 cm and angle α = 45° - Skeleton angle calculation
One angle of the skeleton is 30 degrees larger than the other. Calculate all its angles.
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