To determine the difference in elevation between Stefano and the climber when the sunglasses passed the climber after 6 seconds, we need to calculate the height difference using the given values in the table.
According to the table:
- At \( t = 0 \) seconds (when he dropped the sunglasses), \( h(0) = 10 \) meters.
- At \( t = 6 \) seconds (when the sunglasses pass the climber), \( h(6) = -166.4 \) meters.
We calculate the difference in elevation between these two points by finding the absolute difference in their heights:
\[
|h(0) - h(6)| = |10 - (-166.4)|
\]
Simplify inside the absolute value:
\[
|10 + 166.4| = 176.4
\]
To the nearest meter, this is approximately 176 meters. Therefore, the difference in elevation between Stefano and the climber is 176 meters.
Thus, the correct answer is:
\[
176 \text{ meters}
\]
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?
166 meters
176 meters
230 meters
240 meters
1 answer
2 answers