Arctangent - practice problems
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 73
- Modulus and argument
Find the mod z and argument z if z=i
- The angle of lines
Calculate the angle of two lines y=x+12 and y=-3x-3
- Hole's angles
I am trying to find an angle. The top of the hole is .625", and the bottom of the hole is .532". The hole depth is .250". What is the angle of the hole (and what is the formula)?
- Goniometric form
Determine the goniometric form of a complex number z = √ 110 +4 i.
- Coordinates of square vertices
I have coordinates of square vertices A / -3; 1/and B/1; 4 /. Find coordinates of vertices C and D, C and D. Thanks, Peter.
- Angle between lines
Calculate the angle between these two lines: p: -8x +4y +5 =0 q: 10x +10y -7=0
- Descent of road
The road sign informs us the gradient is 10.9%. Calculate the angle at which the average decreases.
- Cube - angles
Calculate the angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and the cube base.
- Road
The average climb of the road is given by ratio 1:15. By what angle does road moderate climb?
- Bevel
I have a bevel in the ratio 1:6. What is the angle, and how do I calculate it?
- Climb
The road has climbing 1:27. How big is an angle correspond to this climbing?
- Angle of climb
At what angle does the road rise if the climb is 10%?
- Straight 21243
The straight railway line has a gradient of 16 per mille. What is the size of the pitch angle?
- Road drop
On a straight stretch of road is marked a 12 percent drop. What angle makes the direction of the road with the horizontal plane?
- Stairway
What angle rising stairway if step height in 20 cm and width 26 cm?
- Big tower
From the tower, which is 15 m high, and 30 m from the river, the river's width appeared at an angle of 15°. How wide is the river in this place?
- Church tower
Archdeacon church in Usti nad Labem has diverted the tower by 186 cm. The tower is 65 m high. Calculate the angle by which the tower is tilted. Results write in degree minutes.
- Calculate 81950
The tangent of the angle formed by the adjacent sides of the triangle ABC (side a=29 m, b = 40 m) equals 1.05. Calculate the area of that triangle.
- A boy 5
A boy starts at A and walks 3km east to B. He then walks 4km north to C. Find the bearing of C from A.
- Pyramid
Pyramid has a base a = 3cm and height in v = 15 cm. a) calculate the angle between plane ABV and the base plane b) calculate the angle between opposite side edges.
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