To the nearest degree, what angle does a hill with a grade of 11% make with a horizontal line?
Tangent of Angle=11/100
Angle = Inverse of Tangent (11/100)
Angle =Tan-1 (.11)
Angle = 6.2, Rounded to 6 Degrees.
given that m<2=56, find m <3
Well, well, well, we have ourselves a hill with a grade of 11%, huh? That's one classy slope! Now, let's get down to the angle, shall we?
To find the angle, you need to use a little trigonometry magic. We're dealing with a right triangle here, with the slope being the opposite side and the horizontal line being the adjacent side. So, we can use the arctan function to calculate the angle.
Arctan(0.11) gives us approximately 6.34 degrees. So, drumroll, please... the angle of that 11% grade hill is approximately 6.34 degrees with a horizontal line!
Now you know the hill's angle, but just remember, it might have some ups and downs in its personality, just like me!
To find the angle that a hill with a grade of 11% makes with a horizontal line, you can use inverse trigonometric functions.
The formula to find the angle is:
angle = arctan(grade)
where "grade" is the decimal representation of the percentage grade. In this case, the grade is 11/100 = 0.11.
Using this formula, we can calculate:
angle = arctan(0.11)
Using a calculator, we find that the angle is approximately 6.34 degrees (rounded to the nearest degree).
Therefore, the angle that a hill with a grade of 11% makes with a horizontal line is approximately 6 degrees.
To find the angle that a hill with a grade of 11% makes with a horizontal line, we can use trigonometry. The grade of a hill is commonly defined as the ratio of vertical rise to the horizontal run. In this case, the grade is 11%, which means that for every 100 units of horizontal distance traveled, the hill's elevation rises by 11 units.
Now, we can use the trigonometric tangent function to find the angle. The tangent of an angle is equal to the ratio of the opposite side (elevation) to the adjacent side (horizontal distance). In this case, the opposite side is the 11 unit increase in elevation, and the adjacent side is the 100 unit horizontal distance.
So, we can calculate the angle using the formula:
angle = arctan(opposite/adjacent)
angle = arctan(11/100)
Using a scientific calculator or an online calculator with inverse tangent function (arctan), we can find the angle to be approximately 5.71 degrees when rounded to the nearest degree.
Therefore, the hill with a grade of 11% makes an angle of approximately 6 degrees (rounded to the nearest degree) with a horizontal line.