Ratio + angle - practice problems - page 4 of 6
Number of problems found: 104
- Angles ratio
The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss) - Center of gravity
In the isosceles triangle ABC is the ratio of the lengths of AB and the height to AB 10:12. The arm has a length of 26 cm. If the center of gravity is T, find the area of the triangle ABT. - Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8 - Circular 4690
The cone shell with a base radius of 20 cm and a height of 50 cm unfolds into a circular cutout. How big is the center angle of this cutout?
- Ratio iso triangle
The ratio of the sides of an isosceles triangle is 7:6:7. Find the base angle to the nearest answer correct to 3 significant figures. - Tree shadow
The tree perpendicular to the horizontal surface has a shadow 8.32 meters long. At the same time, a one-meter rod perpendicular to the horizontal surface has a shadow 64 cm long. How tall is the tree? - Calculate 4422
Calculate the perimeter of the triangle ABC if a = 12 cm, the angle beta is 38 degrees, and the gamma is 92 degrees. - Three vectors
The three forces whose amplitudes are in ratio 9:10:17 act in the plane at one point to balance. Determine the angles of each two forces. - Smallest internal angle
Calculate what size has the smallest internal angle of the triangle if values of angles α:β:γ = 3:4:8
- Is right triangle
One angle of the triangle is 36°, and the remaining two are in the ratio of 3:5. Determine whether a triangle is a rectangular triangle. - Rhombus IV
Calculate the length of the diagonals of the rhombus, whose sizes are in the ratio of 1:2 and a rhombus side is 35 cm. - Clock
What distance will pass the end of 8 cm long hour hand for 15 minutes? - Arc
What area of a circle occupied the flowers planted in the arc of a circle with a radius 3 m with a central angle of 45°? - Inscribed triangle
To a circle is an inscribed triangle so that it is vertexes divide the circle into three arcs. The length of the arcs is in the ratio 2:3:7. Find the interior angles of a triangle.
- Trapezoid RT
The plot has a shape of a rectangular trapezium ABCD, where ABIICD with a right angle at the vertex B. side AB has a length of 36 m. The lengths of the sides AB and BC are in the ratio 12:7. Lengths of the sides AB and CD are a ratio of 3:2. Calculate con - angles in quadrilateral
What size have angles in quadrilateral (4-gon) if they are in a ratio of 8:9:10:13? - Angles ratio
In an ABC triangle, is true relationship c is less than b, and b is less than a. Internal angles of the triangle are in the ratio 5:4:9. The size of the internal angle beta is: - Clock hands
The hands-on clock shows the time of 12 hours and 2 minutes. Calculate the size of an acute angle between clock hands three hours later. - Angles in ratio
The size of the angles of the triangle is in ratio x: y = 7: 5, and the angle z is 42° lower than the angle y. Find the size of the angles x, y, and z.
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