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Vladimir [108]
3 years ago
10

What percentage grade should a road have if the angle of elevation of the road is 6 degrees? (The percentage grade is defined as

the change in the altitude of the road over a 100-foot horizontal distance. For example a 5% grade means that the road rises 5 feet for every 100 feet of horizontal distance.)
Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

Answer:

  10.5%

Step-by-step explanation:

The tangent of the angle is the ratio of rise to run.

  tan(angle) = grade

  tan(6°) ≈ 0.105 = 10.5%

The grade will be 10.5% for an angle of elevation of 6°.

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Midpoint Formula: (\frac{x+x}{2},\frac{y+y}{2})
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Midpoint = (\frac {3}{2},\frac {-8}{2})
Midpoint = (\frac {3}{2}, -4)
So, the midpoint of the endpoints (-4,-3) and (7,-5) is (\frac {3}{2}, -4).
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According to G oogle: "All the three angles situated within the isosceles triangle are acute, which signifies that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°, which means we can find out the third angle of a triangle if the two angles of an isosceles triangle are known."

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