Real numbers + angle - practice problems
Number of problems found: 15
- Overnight change
It was 13°C yesterday, but the temperature changed by -18.6° overnight. What is the temperature now? - Rail turn
The curve radius on the railway line is 532 m. The length of the rail track on it is 818 m. How many degrees is the angle ASB if A and B are boundary points and S is the center of the arc curve? - Angles
Find the interior angles of a rhombus with area 319.1 cm² and perimeter 72 cm. - Cotangent
If the angle α is acute, and cotan α = 1/3. Determine the value of sin α, cos α, and tan α.
- Quarter circular
The wire hooked around the perimeter of the quarter-circular arc has a length of 5π+20. Determine the radius of the circle arc. - IS triangle
Calculate interior angles of the isosceles triangle with base 40 cm and legs 22 cm long. - Trigonometric functions
In the right triangle is: tg α= frac(4) 2 Find the value of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20) - Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'? - Triangle TBC
TBC is isosceles triangle with base TB with base angle 63° and legs length |TC| = |BC| = 25. How long is the base TB?
- Observer
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 102 m. How far is it from another end of the fence? - Cuboid
Find the dimensions of cuboids a, b, and c; if diagonal d=9 dm has an angle with edge α=55° and has an angle with edge b β=58° - Slope
What is the slope of a line with an inclination 3.96 rad? - ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand - Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and area 415 cm². Calculate the volume of a cone.
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