Right triangle + arctangent - math problems

Number of problems found: 32

Ratio iso triangle
The ratio of the sides of an isosceles triangle is 7:6:7 Find the base angle to the nearest answer correct to 3 significant figure.
Descent of road
Road sign informs the gradient is 10.9%. Calculate the angle which average decreases.
Bevel
I have bevel in the ratio 1:6. What is the angle and how do I calculate it?
Climb
Road has climbing 1:27. How big is a angle corresponds to this climbing?
Road drop
On a straight stretch of road is marked 12 percent drop. What angle makes the direction of the road with the horizontal plane?
Height difference
What height difference overcome if we pass road 1 km long with a pitch21 per mille?
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.
Road
Average climb of the road is given by ratio 1:15. By what angle road average climb?
Railway
Railway line had on 5.8 km segment climb 9 permille. How many meters track ascent?
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)?
Cube - angles
Calculate angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and cube base.
Stairway
What angle rising stairway if step height in 20 cm and width 26 cm?
V-belt
Calculate a length of the V-belt when the diameter of the pulleys is: D1 = 600 mm D2 = 120 mm d = 480 mm
Church tower
Archdeacon church in Usti nad Labem has diverted tower by 186 cm. The tower is 65 m high. Calculate the angle by which the tower is tilted. Result write in degree's minutes.
Traffic sign
There is a traffic sign for climbing on the road with an angle of 7%. Calculate at what angle the road rises (falls).
Road
Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
Cone
The rotating cone volume is 9.42 cm³, with a height 10 cm. What angle is between the side of the cone and its base?
Angle of two lines
There is a regular quadrangular pyramid ABCDV; | AB | = 4 cm; height v = 6 cm. Determine the angles of lines AD and BV.
V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.
Pyramid
Pyramid has a base a = 3cm and height in v = 15 cm. a) calculate angle between plane ABV and base plane b) calculate angle between opposite side edges.