stefano accidentally dropped his sunglasses off the edge of a canyon as he was looking down. the height…

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.\n\nheight of sunglasses over time\n| t | h(t) |\n|----|----|\n| 0 | 10 |\n| 1 | 5.1 |\n| 2 | -9.6 |\n| 3 | -34.1 |\n| 4 | -68.4 |\n| 5 | -112.5 |\n| 6 | -166.4 |\n| 7 | -230.1 |\n\nduring 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 the difference in elevation between stefano and the climber?\n166 meters\n240 meters\n230 meters\n176 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.\n\nheight of sunglasses over time\n| t | h(t) |\n|----|----|\n| 0 | 10 |\n| 1 | 5.1 |\n| 2 | -9.6 |\n| 3 | -34.1 |\n| 4 | -68.4 |\n| 5 | -112.5 |\n| 6 | -166.4 |\n| 7 | -230.1 |\n\nduring 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 the difference in elevation between stefano and the climber?\n166 meters\n240 meters\n230 meters\n176 meters

Answer

Explanation:

Step1: Determine Stefano's height

When $t = 0$, the height of the sunglasses $h(0)=10$ meters. So Stefano's height relative to sea - level is 10 meters.

Step2: Determine the climber's height

When $t = 6$, the height of the sunglasses $h(6)=- 166.4$ meters. So the climber's height relative to sea - level is approximately - 166 meters (rounded to the nearest meter).

Step3: Calculate the height difference

The difference in elevation $\Delta h=10-(-166)=10 + 166=176$ meters.

Answer:

176 meters