Physical quantity - math word problems - page 222 of 225

Number of problems found: 4489

Slope
What is the slope of a line with an inclination 6.06 rad?
House roof
The roof of the house has the shape of a regular quadrangular pyramid with a base edge 17 m. How many m² is needed to cover roof if roof pitch is 57° and we calculate 11% of waste, connections and overlapping of area roof?
Determine 18223
From the sine theorem, determine the ratio of the sides of a triangle whose angles are 30 °, 60 °, 90 °.
Road
The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.
Tower
How many m² of the copper plate should be replaced on the roof of the tower conical shape with diameter 24 m, and the angle at the axial section's vertex is 144°?
Observer 64354
At what angle of view does an object 70 m long appear to the observer, 50 m away from one end, and 80 m from the other end?
Sun rays
If the sun's rays are at an angle 60° then famous Great Pyramid of Egypt (which is now high 137.3 meters) has 79.3 m long shadow. Calculate current height of neighboring chefren pyramid whose shadow is measured at the same time 78.8 m and the current heig
Descent of road
The road sign informs the gradient is 10.9%. Calculate the angle at which the average decreases.
Vector sum
The magnitude of the vector u is 12 and the magnitude of the vector v is 8. Angle between vectors is 61°. What is the magnitude of the vector u + v?
An Elizabethan collar
An Elizabethan collar is used to prevent an animal from irritating a wound. The angle between the opening (diameter 6 inch) with a 16-inch diameter and the side of the collar is 53 degrees. Find the surface area of the collar shown.
The cone
The cone's lateral surface area of the cone is 4 cm², the area of the base is 2 cm². Find the angle in degrees (deviation) of the cone sine and the cone base plane. (Cone side is the segment joining the vertex cone with any point of the base circle. All s
Isosceles triangle 8
If the rate of the sides of an isosceles triangle is 7:6:7, find the base angle correct to the nearest degree.
Triangular prism
The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C', has an angle with base 22 degrees, |AB| = 6 cm. Calculate the volume of the prism.
Isosceles triangle
What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m?
Diagonals of a prism
The base of the square prism is a rectangle with dimensions of 3 dm and 4 dm. The height of the prism is 1 m. Find out the angle between the body diagonal with the diagonal of the base.
Tetrahedral pyramid
Calculate the regular tetrahedral pyramid's volume and surface if the area of the base is 20 cm², and the deviation angle of the side edges from the plane of the base is 60 degrees.
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 strikes the glass interfa
Vectors
Find the magnitude of the angle between two vectors u = (3; -5) and v = (10; 6)
Calculate 8354
In a regular pyramid in which the edge of the base is | AB | = 4cm; height = 6cm, calculate the angle of the lines AV and CV, V = vertex.
Angle of diagonal
The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10cm. Calculate the body volume.

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