Road

The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.

Correct answer:

p =  21.3 %

Step-by-step explanation:

$$\begin{gathered} \tan (12^{\circ })=a\mathrm{/}b \\ p=100a\mathrm{/}b \\ p=100\cdot \tan (12^{\circ })=21.3\mathrm{\%} \end{gathered}$$

Try another example

Related math problems and questions:

• 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?
• Right angled triangle 3
  Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find its unknown sides length.
• Right triangle
  It is given a right triangle angle alpha of 90 degrees beta angle of 55 degrees c = 10 cm use Pythagorean theorem to calculate sides a and b
• Mast
  Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 13.3°. Determine the height of the mast, if the sun above the horizon is at angle 45°12'.
• Road
  The average climb of the road is given by ratio 1:15. By what angle road average climb?
• Right triangle
  A right triangle ABC is given, c is a hypotenuse. Find the length of the sides a, b, the angle beta if c = 5 and angle alfa = A = 35 degrees.
• Right
  Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
• Right triangle trigonometrics
  Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60° and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent)
• Climb
  On the road sign, which informs the climb is 8.7%. The car drive 5 km along this road. What is the height difference that the car went to?
• Right triangle
  Calculate the length of the remaining two sides and the angles in the rectangular triangle ABC if a = 10 cm, angle alpha = 18°40'.
• Climb
  Road has climbing 1:27. How big is a angle corresponds to this climbing?
• Road
  Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
• Rectangle
  Calculate the length of the side GN and diagonal QN of rectangle QGNH when given: |HN| = 25 cm and angle ∠ QGH = 28 degrees.
• Height difference
  What height difference overcome if we pass road 1 km long with a pitch21 per mille?
• Trigonometric functions
  In the right triangle is: ? Find the value of s and c: ? ?
• Three pillars
  On a straight road, three pillars are 6 m high at the same distance of 10 m. At what angle of view does Vlado see each pillar if it is 30 m from the first and his eyes are at 1.8 m high?
• Cosine
  The point (3, 4) is on the terminal side of angle θ. cos θ = ?