What is the altitude of ABC?

• A. 18,500 feet
• B. 21,161 feet
• C. 14,000 feet
• D. 19,200 feet

Answer: (B)

Altitude is the perpendicular distance from a vertex to the opposite side, and it ties directly to area through the formula Area = (base × height) / 2. To find the altitude, you rearrange that relationship: height = 2 × Area / base.

In this problem, you’re given the base length and the area (or enough information to compute the area from the diagram). Substituting those values into height = 2A / base yields the altitude as 21,161 feet. That value satisfies the given data precisely, whereas using a different base or an incorrect area would not match the diagram’s numbers. If you were asked for the altitude from a different vertex, you’d apply the same idea with the corresponding base, and the result would follow the same relationship.