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?

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.

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?

Vocaloid · Answer

Looking at the table: At t = 0, the glasses were at height 10m.

The sunglasses passed by the climber at 6 seconds. Looking at the table again, the height of the glasses at 6 seconds is -166.4.

So difference in elevation must be 10 - (-166.4) = ?