Arctangent - high school - practice problems - page 3 of 4
Number of problems found: 63
- Cone
The rotating cone volume is 9.42 cm3, with a height of 10 cm. What angle is between the side of the cone and its base? - Directional 2595
Calculate the interior angles of triangle ABC using vectors. Coordinates A [2; 4] B [4; 6] C [0; -4]. Calculate directional vectors of sides, parametric and general equations of sides, parametric and general equations of lines, calculate area, calculate h - 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? - Height difference
What height difference is overcome if we pass a road 1 km long with a pitch21 per mille?
- Railway
Railway line had on 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 (rise:run) of the bottom of the swimming pool long 10 m. The water depth at the beginning of the pool is 0.96 m (for children), and the depth at the end is 1.86 m (for swimmers). Slope express as a percentage and as the angle in degree
- 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
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. - Goniometric form
Determine the goniometric form of a complex number z = √ 110 +4 i. - Road
The average climb of the road is given by ratio 1:15. By what angle does road moderate climb? - Stairway
What angle rising stairway if step height in 20 cm and width 26 cm?
- River
From the observatory 11 m high and 24 m from the riverbank, river width appears in the visual angle φ = 13°. 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 1:27. How big is an angle correspond 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: -8x +4y +5 =0 q: 10x +10y -7=0
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