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nadezda [96]
3 years ago
11

You are building a ramp that must cover a horizontal distance of exactly 17 feet. The angle of the ramp from the ground is 24°.

Determine the length of the ramp, in feet.
Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

Length of the ramp = 18.6 feet (Approx.)

Step-by-step explanation:

Given:

Horizontal distance (base distance) = 17 feet

Angle of elevation = 24°

Find:

Length of the ramp

Computation:

Cosθ = Length of base / Length of hypotenuse

Cos 24 = Horizontal distance (base distance) / Length of the ramp

Cos 24 = 17 / Length of the ramp

0.9135 = 17 / Length of the ramp

Length of the ramp = 17 / 0.9135

Length of the ramp = 18.6 feet (Approx.)

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Cotθ= tan30° find theta
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Answer:

60

Step-by-step explanation:

Cot is the same as 1/tan so:

1/tan(theta) = tan(30)

By rearranging the equation, we get:

1/tan(30) = tan(theta)

By taking the inverse tan, we get:

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7 0
2 years ago
3. A researcher randomly selects a sample of 61 former student leaders from a list of graduates of UNCG who had participated in
Sophie [7]

Answer:

not statistically significant at ∝ = 0.05

Step-by-step explanation:

Sample size( n )  = 61

Average for student leader graduates to finish degree ( x') = 4.97 years

std = 1.23

Average for student body = 4.56 years

<u>Determine if the difference between the student leaders and the entire student population is statistically significant at alpha</u>

H0( null hypothesis ) : u = 4.56

Ha : u ≠ 4.56

using test statistic

test statistic ; t = ( x' - u ) / std√ n

                        = ( 4.97 - 4.56 ) / 1.23 √ 61

                        = 2.60

let ∝ = 0.05 , critical value = -2.60 + 2.60

Hence we wont fail to accept  H0

This shows that the difference between the student leaders and the entire student population is not statistically significant at ∝ = 0.05

3 0
3 years ago
jim nasium is building a tree house for his two daughters. he cut 12 pieces of wood from a board that is 128 inches long. he cut
Mariulka [41]
5*15.75=78.75
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126-78.75=47.25
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6 0
3 years ago
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