Right triangle practice problems - page 107 of 127
Number of problems found: 2521
- Posters on Cone
The stand on which the posters are stuck has the shape of a cone. It is 2.4 m tall. The side of the cone is 2.5 m long. How many 40cmx60 cm posters can be stuck on the stand so they do not overlap? - Inscribed and described circle
Find the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm. - Five-gon
Calculate the side a, the circumference, and the area of the regular 5-angle if Rop = 6 cm. - Common chord
The common chord of the two circles, c1 and c2, is 3.8 cm long. This chord forms an angle of 47° with the radius r1 in the circle c1. An angle of 24° 30' with the radius r2 is formed in the circle c2. Calculate both radii and the distance between the two - Roof material
How many square meters of roofing is needed to cover the cone-shaped roof if the perimeter of its base is 15.7 m and a height of 30 dm - Elevation
What must be an observer's elevation so that he may see an object on the Earth 866 km away? Assume the Earth to be a smooth sphere with a radius 6378.1 km. - Horizon
The top of a lighthouse is 18 m above the sea. How far away is an object just "on the horizon"? [Assume the Earth is a sphere of radius 6378.1 km.] - Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm. - Tetrahedral pyramid
A regular tetrahedral pyramid is given. Base edge length a = 6.5 cm, side edge s = 7.5 cm. Calculate the volume and the area of its face (side area). - Pyramid measurements
A regular hexagonal pyramid has a base edge of 20 cm and a lateral edge of 40 cm. Calculate the height and surface area of the pyramid. - Hexagonal pyramid
A regular hexagonal pyramid has dimensions: the length edge of the base a = 1.8 dm, and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid. - Prism Box Force Weight
We turn the prism-shaped box with a height of 1 m and a square base with an edge of 0.6 m under a force of 350 N, which acts horizontally compared to the upper edge. What is the weight of the box? - Tetrahedral pyramid
It is given a regular tetrahedral pyramid with a base edge of 6 cm and a height of pyramid 10 cm. Calculate the length of its side edges. - Center of line segment
Calculate the distance of point X [1,3] from the center of the line segment x = 2-6t, y = 1-4t; t is from interval <0,1>. - Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[0, -2] and B[-4, 9]. - Hexagonal pyramid
Please calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20 cm. Please sketch a picture. - Pyramid measurements Calculate the surface area and volume of a regular hexagonal pyramid whose base edge is 10 cm long and the side edge is 26 cm long.
- A plane vs. sphere
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere. - Cylinder volume diagonal
The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters. - A transmitter tower
A transmitter tower is 80 metres high and is secured to the ground by 4 steel cables, each anchored 60 metres from the base of the tower. Calculate how many metres of steel cable were needed in total to secure the transmitter tower. The steel cable has a
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