Being the First to See the Rising Sun Cadillac Mountain, elevation 1530 feet, is located in Acadia National Park. Maine, and is the highest peak on the east coast of the United States. It is said that a person standing on the summit will be the first person in the United States to see the rays of the rising Sun. How much sooner would a person atop Cadillac Mountain see the first rays than a person standing below, at sea level? [ Hint: Consult the figure. When the person at D sees the first rays of the Sun, the person at F does not. The person at F sees the first rays of the Sun only after Earth has rotated so that F is at location Q . Compute the length of the arc subtended by the central angle θ . Then use the fact that at the latitude of Cadillac Mountain, in 24 hours a length of 2 π ( 2710 ) ≈ 17 , 027.4 miles is subtended.]
Being the First to See the Rising Sun Cadillac Mountain, elevation 1530 feet, is located in Acadia National Park. Maine, and is the highest peak on the east coast of the United States. It is said that a person standing on the summit will be the first person in the United States to see the rays of the rising Sun. How much sooner would a person atop Cadillac Mountain see the first rays than a person standing below, at sea level? [ Hint: Consult the figure. When the person at D sees the first rays of the Sun, the person at F does not. The person at F sees the first rays of the Sun only after Earth has rotated so that F is at location Q . Compute the length of the arc subtended by the central angle θ . Then use the fact that at the latitude of Cadillac Mountain, in 24 hours a length of 2 π ( 2710 ) ≈ 17 , 027.4 miles is subtended.]
Being the First to See the Rising Sun Cadillac Mountain, elevation 1530 feet, is located in Acadia National Park. Maine, and is the highest peak on the east coast of the United States. It is said that a person standing on the summit will be the first person in the United States to see the rays of the rising Sun. How much sooner would a person atop Cadillac Mountain see the first rays than a person standing below, at sea level?
[
Hint: Consult the figure. When the person at
sees the first rays of the Sun, the person at
does not. The person at
sees the first rays of the Sun only after Earth has rotated so that
is at location
. Compute the length of the arc subtended by the central angle
. Then use the fact that at the latitude of Cadillac Mountain, in 24 hours a length of
miles is subtended.]
Expert Solution & Answer
To determine
To find: How much sooner would a person atop Cadillac Mountain see the first rays than a person standing below, at sea level.
Answer to Problem 75AYU
mins
Explanation of Solution
Given:
Cadillac Mountain, elevation 1530 feet, is located in Acadia National Park, Maine, and is the highest peak on the east coast of the United States. It is said that a person standing on the summit will be the first person in the United States to see the rays of the rising Sun.
Calculation:
Radius of the earth is 14308800 feet.
Length of is 14310330 feet.
The arc angle is .
Circumference of the earth miles
How much sooner would a person atop Cadillac Mountain see the first rays than a person standing below, at sea level,
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