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Pam’s eye-level height is 324 ft above sea level, and Adam’s eye-level height is 400 ft above sea level. How much farther can Adam see to th
Question
Pam’s eye-level height is 324 ft above sea level, and Adam’s eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, with d being the distance they can see in miles and h being their eye-level height in feet. 1 mi StartRoot 6 EndRoot mi 19 mi 19 StartRoot 6 EndRoot mi
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Mathematics
5 years
2021-08-21T03:40:25+00:00
2021-08-21T03:40:25+00:00 1 Answers
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Answers ( )
Answer:
B. StartRoot 6 EndRoot mi
√6 mi
Step-by-step explanation:
A. 1 mi
B. StartRoot 6 EndRoot mi
C.19 mi
D. 19 StartRoot 6 EndRoot mi
d = √(3h/2)
Where,
d = distance they can see in miles h = their eye-level height in feet
Pam:
h = 324 ft
d = √(3h/2)
d = √{(3 * 324)/2}
= √972/2
= √486
= √(81 * 6)
= √81 * √6
= 9√6 mi
Adam:
h = 400 ft
d = √(3h/2)
d = √{(3 * 400)/2}
= √1200/2
= √600
= √(100 * 6)
= √100 * √6
= 10√6 mi
How much farther can Adam see to the horizon?
Adam – Pam
= 10√6 – 9√6
= √6 mi