Angle - math word problems - page 23 of 64

Number of problems found: 1279

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 and the base's diagonal.
Aircraft bearing
Two aircraft will depart from the airport simultaneously. The first flight flies with a course of 30°, and the second with a course of 86°. Both fly at 330 km/h. How far apart will they be in 45 minutes of flight?
MO Z7–I–6 2021
In triangle ABC, point D lies on the AC side and point E on the BC side. The sizes of the angles ABD, BAE, CAE, and CBD are 30°, 60°, 20°, and 30°, respectively. Find the size of the AED angle.
Geometry exercise
Calculations from geometry: The ratios of the sides of the quadrilateral are 3 : 6:4.5 : 3.5. Calculate their lengths if the perimeter is 51 cm. The sizes of the angles in the quadrilateral are equal to 29°30', 133°10', and 165°20'. What is the size of an
Modulus and argument
Find the mod z and argument z if z=i
The body
A body slides down an inclined plane at an angle of α = π/4 = 45° to the horizontal, with friction causing a deceleration of a = 2.4 m/s². At what angle β must the plane be inclined so that, after a small push, the body slides at a constant speed?
Tangens parallelogram
If ∠BAD between the sides AB and AD of the parallelogram is θ, what is tan θ? See diagram: A=(7,1) B=(5,-2) C=(12,1) D=(14,4)
Second hand path
What path will the end of the second hand make in 24 minutes if it is 5 cm long?
Space vectors 3D
The vectors u = (1; 3;- 4) and v = (0; 1; 1) are given. Find their sizes, calculate their angles, and determine the distances between them.
Triangle angle
For the interior angles of a triangle, the angle β is twice as large, and the angle γ is three times larger than the angle α. Is this triangle right?
A trapezoid
A trapezoid has a base length of a = 36.6 cm, with angles α = 60°, β = 48°, and a height of 20 cm. Calculate the lengths of the other sides of the trapezoid.
Tower distance
How far from the lookout tower, 48 m high, did the tourist stand if he saw its top at an angle of 40°?
Truncated pyramid
Find the volume of a regular 4-sided truncated pyramid if a1 = 14 cm, a2 = 8 cm, and the angle that the side wall with the base is 42 degrees.
Triangle angle
In a right triangle, one acute angle is 20° smaller than the other. Determine the size of the interior angles in the triangle.
Spherical sector
The spherical sector has axial section has an angle of α = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the surface of this spherical sector.
Road ascent
The road rises by 8 m to 2000 m. Calculate its ascent in per mille.
The amphitheater
The amphitheater has the shape of a semicircle, the spectators sit on the perimeter of the semicircle, and the stage forms the diameter of the semicircle. Which spectators, P, Q, R, S, and T, see the stage at the greatest viewing angle?
Gamma angle
Find the magnitude of the gamma angle in triangle ABC if: α = 38° 56' and β = 47° 54'.
Ratio in trapezium
The ratio of the height v and the base a, c in the trapezoid ABCD is 1:6:3. Its area is 324 square cm, and the peak angle B is 35 degrees. Determine the perimeter of the trapezoid.
Clock hand distance
How far apart are the tips of the clock's hands in 3 hours if the larger hand is 124 mm long and the smaller 75 mm?

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