Question

question 9
2 points
death valley national parks highest point is at the summit of telescope peak. its lowest point is in badwater basin. the equation for finding the elevation (with respect to sea level) of the first and the depth of the second is |x - 5380.5| = 5662.5 (in feet). what is the highest elevation and lowest depth?
○ 282 feet, -11,043 feet
○ 5,662.5 feet, -5,380.5 feet
○ 5,380.5 feet, -5,662.5 feet
○ 11,043 feet, -282 feet

Explanation:

Step1: Solve absolute value equation

The absolute value equation is $|z - 5380.5| = 5662.5$. This splits into two cases:
Case 1: $z - 5380.5 = 5662.5$
Case 2: $z - 5380.5 = -5662.5$

Step2: Calculate highest elevation

Solve Case 1 for the highest elevation:
$z = 5662.5 + 5380.5 = 11043$

Step3: Calculate lowest depth

Solve Case 2 for the lowest depth:
$z = -5662.5 + 5380.5 = -262$

Answer:

11,043 feet, —262 feet