The length of the sky lift is 3.387.05 ft
Step-by-step explanation;
By an online search, i found that the sky lift
rises at an angle of 20.75 degrees.
Then we can think on a triangle rectangle, such
that:
One cathetus is 1200ft, this is the opposite
cathetus to the angle of 20.75°
The length of the ski lift would be the
hypotenuse of this triangle rectangle.
Then we can use the relationship:
Sin(a) = opposite cathetus/hypoteuse.
such that:
a = 20.75°
opposite cathetus=1200ft
then:
sin(20.75°) = 1200ft/hypotenuse
hypotenuse =1200ft/sin(20.759) =3.387.05 ft
The length of the sky lift is 3.387.05 ft
9514 1404 393
Answer:
y = 27
Step-by-step explanation:
The altitude of a right triangle creates two <em>triangles that are each similar to each other and to the larger right triangle</em>. This means corresponding sides are proportional.
If we write the proportion for the legs, we get ...
(long leg) / (short leg) = y/18 = 18/12
Multiplying by 18 gives us ...
y = 18(18/12)
y = 27
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<em>Additional comment</em>
The leg/leg proportion above gave rise to the relation ...
altitude² = (left hypotenuse segment)×(right hypotenuse segment)
That is, the altitude is the <em>geometric mean</em> of the two hypotenuse segments it touches. 18 = √(12y)
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There are two other "geometric mean" relationships in this triangle.
- The upper left side is the geometric mean of the left hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).
- The upper right side is the geometric mean of the right hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).
Each of these relationships is ultimately derived from the fact that all of the triangles are similar. You really only need to remember that these triangles are all similar and corresponding sides of similar triangles are proportional. (In some cases, it can be a bit of a shortcut if you remember the geometric mean relations.)
Answer:
Average percentage of occupancy = 93%.
Step-by-step explanation:
If a facility has 150 beds, then over a 30 day period they could have as many as 150 x 30 or 4,500 occupied beds. Since over the given 30 day period they only had 4,200 occupied beds, we can find the average percentage of occupancy by dividing the actual number by the expected number and multiplying by 100:
x 100 = 93%
Letter D. because any opposite number of a negative has to be a positive!
