Question

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.
height of sunglasses over time

t	h(t)
1	5.1
2	-9.6
3	-34.1
4	-68.4
5	-112.5
6	-166.4
7	-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

Explanation:

Step1: Find Stefano's elevation

Stefano's elevation is the height at \(t=0\): \(h(0)=10\) meters.

Step2: Find climber's elevation

Climber's elevation is height at \(t=6\): \(h(6)=-166.4\) meters.

Step3: Calculate elevation difference

Difference = \(10 - (-166.4) = 176.4\), rounded to 176 meters.

Answer:

176 meters