Answer:
71.60ft
Step-by-step explanation:
Hello,
The question above requires us to use find the relationship between the angle and the length of the slide.
To solve this question, it is pertinent to get the diagram correctly so as to get the answer right.
See attached document for better illustration.
From the diagram,
We have the value of the opposite side or the triangle, and the angle of depression.
Using SOHCAHTOA,
Tanθ = opposite / adjacent
θ = 31.66°
Opposite = 46ft
Adjacent = x
Tanθ = opp / adj
Tan31.66 = 46 / x
X = 46 / tan31.66
X = 46 / 0.6166
X = 71.60ft
The height of the slide is 71.60ft
Using the geometric mean concept, it is found that the value of a is 18.
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The geometric mean, of a data-set of n elements, , is given by:
That is, the nth root of the multiplication of all elements.
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In this question:
Thus:
We find the square of each side, so:
Simplifying both sides by 17:
The value of a is 18.
A similar example is given at brainly.com/question/15010240
Answer:
V ≈ 2144.70
Step-by-step explanation:
Radius is going to be used instead of the diameter. Half of 16 is 8, and so that will be the value that shall be used.
V ≈ 2144.66
V ≈ 2144.70