So a road has a gradient of 15% (15 meters rise per 100 meters), how many degrees does this road have?
How do you calculate that?
Is there a physical formula or something?
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I'm in 12th grade and have been given an assignment in which I'm determining the voltage between the points DA. My subject is electrical engineering. It's about potential. I urgently need the solution. If anyone knows anything about this, please help
45° would be 100%. With Arctan(100%), you get 45.
100% is written in the calculator with 1.00 (.00 you can leave there, but generally your 15 must then of course be 0.15)
Why straight 45°: Make 10 pieces on carded paper right, 10 pieces high and connect the beginning and end of this line so that a triangle is created. which angle ? … exactly 45° … so whenever the length laterally = length is high, what one is considered to be 1 or 100% interpreted results in an angle of 45°.
The inclination indicates the ratio of counter-cathete to ancathete in the rectangular triangle. For the angle, you therefore count arctan(15%).
That saves my own answer.
How do you calculate that?
Yeah, rounded 8.5°.
Is the result 8.5?
In the calculator. It’s not possible in your head, you can appreciate at most. This is also not particularly practical in writing.
arctan(0,15)
Where’s that on the calculator?
Shift and tan press is yellow with me. tan^-1 is that.
8.5 is just what the calculator displays. In addition to the numerical value, the result is always the unit. This is in this case the unit degree or °. In English-written calculators, it is seen that they are then set to the angle calculation in DEG (degree).
The result is 8.5°.
This is important because the calculator is also on the so-called. Arc size, i.e., can be switched to the Radiant (RAD) angular unit, which is customary in mathematics and physics. Then he shows something different. For arctan(0,15), it does not display 8.5, but 0.1488899… This is the same result, but in other words, and it must be kept apart.
Thank you 🙂
Josh
Is the result 8.5?