Stefano accidentally dropped his sunglasses off the edge of a canyon as he was looking down. The height, h(t), in meters (as it relates to sea level), of the sunglasses after t seconds, is shown in the table.
A 2-column table with 8 rows titled Height of Sunglasses Over Time. The first column is labeled t with entries 0, 1, 2, 3, 4, 5, 6, 7. The second column is labeled h(t) with entries 10, 5.1, negative 9.6, negative 34.1, negative 68.4, negative 112.5, negative 166.4, negative 230.1.
During its descent, the pair of sunglasses passed by a climber in the canyon 6 seconds after Stefano dropped them. To the nearest meter, what is difference in elevation between Stefano and the climber?
Answers
Given : Stefano accidentally dropped his sunglasses off the edge of a canyon as he was looking down.
The height, h(t), in meters (as it relates to sea level), of the sunglasses after t seconds, is given
During its descent, the pair of sunglasses passed by a climber in the canyon 6 seconds after Stefano dropped them.
To Find : To the nearest meter, what is difference in elevation between Stefano and the climber?
166 meters
176 meters
230 meters
240 meters
Solution:
T(sec) height ( m)
0 10
1 5.1
2 -9.6
3 -34.1
4 -68.4
5 -112.5
6 -166.4
7 -230.1
Stefano height at 0 sec = 10 m
climber height at 6 secs = - 166.4 m
difference in elevation between Stefano and the climber
= 10 - (-166.4)
= 176.4
= 176 m
To the nearest meter difference in elevation between Stefano and the climber = 176 m
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176 is the answer for edgenuity