Climb

The road has climbing 1:28. How big is the angle that corresponds to this climbing?

Correct answer:

α =  2.05 °

Step-by-step explanation:

r=1:28≐0.0357=1:28 A=arctan⁡r=arctan⁡0.0357≐0.0357 rad  α=A→  °=A⋅ 180π   °=0.0357⋅ 180π   °=2.05  °=2.05∘=2°2′43"r = 1:28 \doteq 0.0357 = 1:28 \ \\ A = \arctan r = \arctan 0.0357 \doteq 0.0357 \ \text{rad} \ \\ \ \\ α = A \rightarrow \ \ \text{\degree } = A \cdot \ \dfrac{ 180 }{ \pi } \ \ \ \text{\degree } = 0.0357 \cdot \ \dfrac{ 180 }{ \pi } \ \ \ \text{\degree } = 2.05 \ \ \text{\degree } = 2.05 ^\circ = 2\degree 2'43"

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
See also our right triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

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

Units of physical quantities:

Grade of the word problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: