A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 30,000 ft. The pilot would like to estimate her distance from the Gateway Arch. She finds that the angle of depression to a point on the ground below the arch is 27°. (Round your answers to the nearest foot.)(a) What is the distance between the plane and the arch?
(b) What is the distance between a point on the ground directly below the plane and the arch?
Answers
Answer:
X = 33,669.78 ft
Y = 15285.76 ft
Step-by-step explanation:
Given data:
let x be the distance btwn arch and plane
and y be the distance btwn ground point and arch y
we know that
xcos27 = 30000
x = 33,669.78 ft
b) we knwo that
y = tan(27) (30000)
y = 15285.76 ft
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Answers
Hey there! :)
Answer:
x = 242 mm.
Step-by-step explanation:
Begin by setting up a proportion between the actual college building and the drawing.
Cross multiply:
99 × 22 = 9 × x
2178 = 9x
Divide both sides by 9:
2178/9 = 9x/9
x = 242 mm.
Answers
Answer:
35
Step-by-step explanation:
To find this, we are going to use the combination formula as follows;
nCr = n!/(n-r)!r!
In this case, n = 7 and r = 3
Substituting these values;
7C3 = 7!/(7-3)! 3! = 7!/4!3! = 35
54,264
210
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Answers
I'm going to violate my own #1 Prime Cardinal Rule here, and just
give a stripped down answer without going through a full explanation.
The number of combinations of 3 cows out of 7 is (7·6·5) / 3! = 35 .
The number of combinations of 2 pigs out of 4 is (4·3)/2 = 6
The number of combinations of 10 sheep out of 10 is 1 .
The number of ways he can select his animals is (35 · 6 · 1) = 210 .
Answers
So in 4 years, there are 365 × 4 = 1460 days.
However, every 4 years, there is also a "leap day." (an additional day in February of years divisible by 4 to balance the calendar)
After adding this day, we would have 1461 days in 4 consecutive years.
*Note: There are exceptions to when leap years happen, so on some 4 year periods there is no leap year. In that case, there could be just 1460.
In four consecutive years, there are 1461 days.
How did we get the value?
To determine the total number of days in four consecutive years, we need to consider whether those years are regular years or leap years.
A regular year has 365 days, while a leap year has 366 days. Leap years occur every four years, with some exceptions. The exceptions are years divisible by 100 but not divisible by 400, which are not leap years.
To calculate the number of days in fourconsecutive years, we first determine if any of the years in that span are leap years. If one or more of the years are leap years, we add an extra day for each leap year.
Let's consider the four-year period starting from the current year, 2023:
Year 2023: Regular year (365 days)
Year 2024: Leap year (366 days)
Year 2025: Regular year (365 days)
Year 2026: Regular year (365 days)
To calculate the total number of days in this four-year span, we add up the days for each year:
365 + 366 + 365 + 365 = 1461
Therefore, in four consecutive years, there are 1461 days.
learn more about leap years:brainly.com/question/16857710
#SPJ6
30%
40%
60%
Answers
Total number of times thrown = 50
Frequency of red side = No of red side / Total * 100%
= (20 / 50) * 100%
= 0.4 * 100%
= 40%
Hope this explains it.
Answers
Answer: 6.02
Step-by-step explanation:
If we know 1 gallon = 2.49
We would have to do 15.00 divided by 2.49 in order to figure out how many gallons we need. When we do that we would get 6.024 but you can round by the nearest tenth because you need to have a whole number and you would get 6 ·ω·