Right triangle - practice for 14 year olds - page 33 of 53
Number of problems found: 1042
- Coordinate axes
Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y. - Dedicated 62673
The street lamp is 5.5 m high. It suddenly stopped shining. How long do ladders need workers if they know that dedicated lamps can be placed at a distance of 18 dm at the bottom? - Mast angles and height
Calculate the height of the mast, whose foot can be seen at a depth angle of 11° and the top at a height angle of 28°. The mast is observed from a position 10 m above the level of the base of the mast. - The roof of the church
The cone roof of the church has a diameter of 3 m and a height of 4 m. What is the size of the side edge of the church roof (s=?), and many sheets of the sheet will be needed to cover the church roof?
- Vertical prism
The base of the vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism - Dimensions 82592
The box has dimensions of 30 cm, 40 cm, and 120 cm. Will a 128 cm long wand fit in it? - Simple right triangle
Right triangle. Given: side c = 18.8 and angle beta = 22° 23'. Calculate sides a, b, angle alpha, and area. - Measuring 65374
Calculate the length of the body diagonal of a block measuring 6 cm, 7 cm, and 10 cm, and round the result to two decimal places. - Quadrangular 64724
The decorative object has a quadrangular pyramid shape, the base edge is 0.7 dm, and the side edge is 1.4 dm long. Calculate the height of the object.
- Rotation
The right triangle with legs 11 cm and 18 cm rotates around the longer leg. Calculate the volume and surface area of the formed cone. - Overhangs 83158
The area of a right triangle ABC is 346 cm2, and the angle at vertex A is 64°. Calculate the lengths of the overhangs a and b. - Calculate 6219
Right triangle. Given: side b = 15.8 angle alpha = 15° 11`. Calculate the side a, c, beta angle, and area. - Cantilevers 81937
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm. - Observation 82811
From the 40 m high observation deck, you can see the top of the poplar at a depth angle of 50*10' and the bottom of the poplar at a depth angle of 58*. Calculate the height of the poplar.
- Inclined plane
The body stays on an inclined plane and exerts a compressive force of 70N on it. Find the angle between the inclined plane and the horizontal if a gravitational force of 100N acts on the body. - Calculate 83044
The cube comprises 64 small cubes, each with an edge length of 15 mm. Calculate the wall length and body diagonals. - Calculate 2674
Calculate the volume of the block if a = 3 cm, the size of the body diagonal is 10 cm and the size of the diagonal of the base is 5 cm - Side edges
The regular 4-sided pyramid has a body height of 2 dm, and the opposite side edges form an angle of 70°. Calculate the surface area and volume of the pyramid. - Prism diagonal
The body diagonal of a regular square prism has an angle of 60 degrees with the base, and the edge length is 10 cm. What is the volume of the prism?
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