Arctangent - practice problems - page 4 of 5
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 85
- Road drop
A 12 percent drop is marked on a straight stretch of road. What angle aligns the direction of the road with the horizontal plane? - 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 are written in degree minutes. - Height difference
What height difference is overcome if we pass a road 1 km long with a pitch of 21 per mille? - Railway
The railway line had a 5.8 km segment climb nine permille. How many meters does the track ascent?
- Two forces
Two forces with magnitudes of 25 and 30 pounds act on an object at 10° and 100° angles. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and your final answer. - Bevel
I have a bevel in the ratio 1:6. What is the angle, and how do I calculate it? - Angle A straight line p given by the equation y = (-8)/(6) x +78. Calculate the size of the angle in degrees between line p and y-axis.
- Slope of the pool
Calculate the slope (ratio rise:run) of the bottom of the swimming pool long 40 m. The water depth at the beginning of the pool is 1.09 m (for children), and the depth at the end is 1.88 m (for swimmers). Calculated slope write it as a percentage and also - Map - climb
On the map of the High Tatras, on a scale of 1:11000, are cable car stations in the Tatranska Lomnica and the Skalnate Pleso with a distance of 354.6 mm. The altitude of these stations is 949 m and 1760 m. What is the average angle of climb on this cable
- Pyramid
The 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 the edges on the opposite side. - Goniometric form
Determine the goniometric form of a complex number z = √ 110 +4 i. - Road
A ratio of 1:15 gives the average climb of the road. By what angle does the road moderate climb? - Stairway
What angle rising stairway if the step height is 20 cm and the width 26 cm? - River
From the observatory 18 m high and 31 m from the riverbank, river width appears in the visual angle φ = 20°. Calculate the width of the river.
- Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Climb
The road has climbing 1:28. How big is the angle that corresponds to this climbing? - Statue
On the pedestal, high 4 m is a statue 2.7 m high. At what distance from the statue must the observer stand to see it at the maximum viewing angle? Distance from the eye of the observer from the ground is 1.7 m. - Angle between lines
Calculate the angle between these two lines: p: -4x +7y +7 =0 q: -x +4y +7=0 - The angle of lines
Calculate the angle of two lines y=2x+29 and y=-3x+1
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
