On a straight stretch of road is marked 12 percent drop. What angle makes the direction of the road with the horizontal plane?

Correct result:

x =  6.8428 °

#### Solution:

$x=\frac{18{0}^{\circ }}{\pi }\cdot \mathrm{arctan}\left(12\mathrm{/}100\right)=6.842{8}^{\circ }={6}^{\circ }5{0}^{\mathrm{\prime }}34\mathrm{"}$

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Tips to related online calculators

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

## Next similar math problems:

• 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
Two wattmeters are connected to measuring power in a 3 phase balanced load. Determine the total power and power factor if the two wattmeters read 1000 watts each (1) both positive and (2) second reading is negative
• 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?
• 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 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 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 the swimming pool long 30 m. Water depth at beginning of the pool is 1.13 m (for children) and depth at the end is 1.84 m (for swimmers). Slope express as percentage and as the 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 = 3cm and height in v = 15 cm. a) calculate angle between plane ABV and base plane b) calculate angle between opposite side edges.
• Goniometric form
Determine goniometric form of a complex number ?.