13. Suppose two 5-meter poles are fixed to the ground in upright position [in red], one in San Diego, CA and the other 392 miles due east near Phoenix, AZ. Assume both lie on the earths equa- tor. Suppose at noon the pole in San Diego casts NO shadow, while the pole in Phoenix casts a shadow of 0.51 meters [in blue]. Based on this information and the diagram shown, se- lect the true statement/s, assume r is unknown, and refers to the radius of the earth, assume approximations are acceptable where appropriate. Assume refers to angle ZLDE and as- sume the world is perfectly round. A B A E D sunlight C the radius of the earth, r≈ 3617.33 miles B C D E F G H I 0 = 5.82403° The portion of the circumference of the earth from one pole to the other is 392 miles 0 tan r = ¹(0.5¹) -1 392 5.82403°.27 360° miles not enough information is given to estimate the ra- dius of the earth 392miles = The portion of the circumference of the earth from one pole to the other is 5.82403°.27r 360° 5.82403° 360° the radius of the earth, r≈ 3856.43 miles · 2πr

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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13. Suppose two 5-meter poles are fixed to the ground in upright
position [in red], one in San Diego, CA and the other 392 miles
due east near Phoenix, AZ. Assume both lie on the earths equa-
tor. Suppose at noon the pole in San Diego casts NO shadow,
while the pole in Phoenix casts a shadow of 0.51 meters [in
blue]. Based on this information and the diagram shown, se-
lect the true statement/s, assume r is unknown, and refers to
the radius of the earth, assume approximations are acceptable
where appropriate. Assume 0 refers to angle ZLDE and as-
sume the world is perfectly round.
A
B
A
E
D
sunlight
the radius of the earth, r≈ 3617.33 miles
B
05.82403°
C
The portion of the circumference of the earth from one
pole to the other is 392 miles
D
E
F
G
H
I
0 = tan-1
r =
0.51
5
392
5.82403° 2πT
360°
-miles
not enough information is given to estimate the ra-
dius of the earth
The portion of the circumference of the earth from one
pole to the other is
5.82403°
360°
2πr
392miles =
5.82403°
360⁰
the radius of the earth, r≈ 3856.43 miles
2πr
Transcribed Image Text:13. Suppose two 5-meter poles are fixed to the ground in upright position [in red], one in San Diego, CA and the other 392 miles due east near Phoenix, AZ. Assume both lie on the earths equa- tor. Suppose at noon the pole in San Diego casts NO shadow, while the pole in Phoenix casts a shadow of 0.51 meters [in blue]. Based on this information and the diagram shown, se- lect the true statement/s, assume r is unknown, and refers to the radius of the earth, assume approximations are acceptable where appropriate. Assume 0 refers to angle ZLDE and as- sume the world is perfectly round. A B A E D sunlight the radius of the earth, r≈ 3617.33 miles B 05.82403° C The portion of the circumference of the earth from one pole to the other is 392 miles D E F G H I 0 = tan-1 r = 0.51 5 392 5.82403° 2πT 360° -miles not enough information is given to estimate the ra- dius of the earth The portion of the circumference of the earth from one pole to the other is 5.82403° 360° 2πr 392miles = 5.82403° 360⁰ the radius of the earth, r≈ 3856.43 miles 2πr
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