Answer: 95 feet
Step-by-step explanation:
Let the length of the horizontal run be represented by x.
Slope Grade = (Rise/Run) × 100
20 = (19/x) × 100
20 = 1900/x
20x = 1900
x = 1900/20
x = 95
Therefore, the length of the horizontal run must be 95 feet
Answer:
AD = 3
Step-by-step explanation:
Pythagoras theorem formula: a² + b² = c² (c being the hypotenuse, the longest side of the triangle).
Using this formula, you can easily say that c²-b²=a². c=5, b=4, making the equation 5² - 4² = a ².
Expanding the formula, you'll get 25 - 16 = a².
25 - 16 = 9.
This means that 9 = a².
To find a, you need to root 9. Using a calculator, you'll know that this number is 3, meaning that AD = 3.
To convert 180 degrees to its equivalent radian measure, multiply it with π/180.
180 (π/180)
The result is π radians.
This is also how the other angles in degrees are converted to radians. Simply multiply with π/180 and express the result in terms of pi.<span />
Answer:
x = 45°
Step-by-step explanation:
We can tell that "x + 115" and 160° are vertically opposite angles, which means that they are equal. (Refer to image)
⇒ x + 115 = 160
⇒ x = 160 - 115
⇒ x = 45°
Learn more about vertically opposite angles: brainly.com/question/68367
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