Right triangle + expression of a variable from the formula - practice problems - page 13 of 33
Number of problems found: 643
- Calculate 83261
Calculate the area of the triangle ABC, in which you know the side c=5 cm, the angle at the top A= 70 degrees, and the ratio of the segments cut by the height to the side c is 1:3 - Two cyclists
Two cyclists started crossing at the same time. One goes to the north speed of 20 km/h, the second eastward at a speed of 26 km/h. What will be the direct distance cycling 30 minutes from the start? - Prism height
What is the prism's height with the base of a right triangle of 6 cm and 9 cm? The diaphragm is 10.8 cm long. The volume of the prism is 58 cm³. Calculate its surface. - Angle of cone
The cone has a base diameter of 1.5 m. The angle at the central apex of the axial section is 86°. Calculate the volume of the cone.
- Body diagonal
Calculate the volume of a cuboid whose body diagonal u equals 6.1 cm. The rectangular base has dimensions of 3.2 cm and 2.4 cm. - Pile of sand
A large pile of sand has been dumped into a conical pile in a warehouse. The slant height of the pile is 20 feet. The diameter of the base of the sandpile is 31 feet. Find the volume of the pile of sand. - Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally. - Fighter
A military fighter flies at an altitude of 10 km. The ground position was aimed at an altitude angle of 23° and 12 seconds later at an altitude angle of 27°. Calculate the speed of the fighter in km/h. - Surface 19383 cone
The volume of a cone with a radius of 6 cm is 301.44 cm cubic. What is its surface?
- Calculate 82144
Calculate the height of side b (v_b) of triangle ABC with vertices A[4;1;3] B[2;3;3] and C[1;1;3]. - Frustrum - volume, area
Calculate the surface and volume of the truncated cone. The radius of the smaller figure is 4 cm, the height of the cone is 4 cm, and the side of the truncated cone is 5 cm. - Wall height
Calculate the surface and volume of a regular quadrangular pyramid if side a = 6 cm and wall height v = 0.8dm. - Above Earth
To what height must a boy be raised above the earth to see one-fifth of its surface? - A construction
A construction worker is trying to find the height of a skyrise building. He is standing some distance away from the base with an angle of elevation of 65 degrees. The worker moves 50 feet closer and measures the angle of elevation to be 75 degrees. Find
- Slant height 2
A regular triangular pyramid with a slant height of 9 m has a volume of 50 m³. Find the lateral area of the pyramid. - Surface area and volume
Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length 3.4 cm. - Calculate
Calculate the cone's surface and volume from the rotation of the right triangle ABC with the squares 6 cm and 9 cm long around the shorter squeegee. - 3sides prism
The base of a vertical prism is an isosceles triangle whose base is 10 cm, and the arm is 13 cm long. Prism height is three times the height of the base triangle. Calculate the surface area of the prism. - Calculate 26991
How can you calculate the wall height of a pyramid when you know: the length of the base edge: is 28 mm and: the body height: is 42 mm?
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