# Arctangent + angle - math problems

#### Number of problems found: 37

• Sphere in cone A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the surface of the ball and the contents of the base is 4: 3. A plane passing through the axis of a cone cuts the cone in an isoscele
• Sun rays If the sun's rays are at an angle 60° then famous Great Pyramid of Egypt (which is now high 137.3 meters) has 79.3 m long shadow. Calculate current height of neighboring chefren pyramid whose shadow is measured at the same time 78.8 m and the current heig
• 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.
• 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? On a straight stretch of road is marked 12 percent drop. What angle makes the direction of the road with the horizontal plane?
• 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.
• Height difference What height difference overcome if we pass road 1 km long with a pitch21 per mille?
• Two forces Two forces with magnitudes of 25 and 30 pounds act on an object at angles of 10° and 100° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
• Bevel I have 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 ?. Calculate the size of angle in degrees between line p and y-axis.
• Slope of the pool Calculate slope (rise:run) of the bottom of swimming pool long 30 m. Water depth at beginning of pool is 1.13 m (for children) and depth at end is 1.84 m (for swimmers). Slope express as percentage and as angle in degrees.
• Map - climb On the map of High Tatras in scale 1:11000 are cable car stations in the Tatranska Lomnica and in the Skalnate Pleso with distance 354.6 mm. Altitude of this stations are 949 m and 1760 m. What is average angle of climb of this cable car track?
• Pyramid Pyramid has a base a = 5cm and height in v = 8 cm. a) calculate angle between plane ABV and base plane b) calculate angle between opposite side edges. Average climb of the road is given by ratio 1:15. By what angle road average 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 river bank, river width appears in the visual angle φ = 13°. Calculate width of the river.
• Climb Road has climbing 1:27. How big is a angle corresponds to this climbing?
• Statue On the pedestal high 4 m is statue 2.7 m high. At what distance from the statue must observer stand to see it in 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: ? ?
• The angle of lines Calculate the angle of two lines y=x-21 and y=-2x+14

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