The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30º. The track has a length of about 800 feet. Fi
nd the height of the incline.
1 answer:
Answer:
The height of the incline is 462 feet
Step-by-step explanation:
Here, we are asked to calculate height, given the angle of elevation.
When we talk about angle of elevation, we refer to the observation angle that we have when we look up from a position which is at the base.
Please check attachment for diagrammatic representation of the question terms.
From the attachment, we can see that we have a right angled triangle. We are asked to calculate the opposite given the adjacent.
Thus the trigonometric identity to use is the Tangent
Tan 30 = h/800
h = 800 * Tan 30 = 461.88 approximately 462 feet
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The percentage of boys 16- to 17-years-old who wear a size 11 shoe or larger is 3.59%.
<u>Step-by-step explanation:</u>
Step 1: Sketch the curve.
The probability that X>27.9 is equal to the blue area under the curve.
Step 2:
Since μ=25.2 and σ=1.5 we have:
P ( X > 27.9 ) = P ( X−μ > 27.9−25.2 )
⇒ P ( X−μ/σ > 27.9−25.2/1.5)
Since Z=x−μσ and 27.9−25.21.5=1.8 we have:
P ( X>27.9 )=P ( Z>1.8 )
Step 3: Use the standard normal table to conclude that:
P (Z>1.8)=0.0359
Percentage = %
Therefore , The percentage of boys 16- to 17-years-old who wear a size 11 shoe or larger is 3.59%.
