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

Respuesta :

Answer:

176 meters

Step-by-step explanation:

Stefano is at +10 elevation, the hiker is at -166.4

10 + 166.4 = 176.4 ≈ 176 meters

Stefano's movement on the canyon is an illustration of elevation.

The difference in elevation is (b) 176 meters

Using the table as a guide.

  • At 6 seconds, the height of the sunglass is -166.4 meters
  • At the starting point (when t = 0), the height of the sunglass is 10 meters

So, the difference between the heights is:

[tex]\mathbf{d = |-166.4 -10|}[/tex]

Evaluate

[tex]\mathbf{d = |-176.4|}[/tex]

Remove absolute brackets

[tex]\mathbf{d = 176.4}[/tex]

Approximate

[tex]\mathbf{d = 176}[/tex]

Hence, the difference in elevation is (b) 176 meters

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