The tailgate of the truck is 3 feet above the ground. The incline of a ramp used for loading the truck is 15° find the nearest t
enth of a foot, the length of the ramp
1 answer:
Answer:
11.2 feet
Step-by-step explanation:
Draw a triangle to represent the problem. (See the one attached.)
The sides involved in this problem are the opposite and adjacent to the given angle, so we need to use the tangent ratio.
To find the length of the ramp, we need to find the tangent of angle 15.
tanx = opp/adj
tan15 = 3/x
Multiply by x on both sides:
x(tan15) = (3/x)x
x(tan15) = 3
Divide by tan15 on both sides:
x(tan15) = 3
/tan15 /tan15
x = 3/tan15
Divide tan15 from 3 using a calculator:
x ≈ 11.2
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Answer:
I would have to go with x = 8 and y = 5, meaning the solution is (8, 5).
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:
We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.
The radius is half the diameter.
- r = d/2
- r= 10 ft/2
- r=5 ft
We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.
Solve the exponent.
- 5 ft * 5ft = 25 ft²
Multiply the numbers in parentheses.
The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>