IB Mathematics SL Prep

Category - IB Mathematics

A slope distance of 97.16 ft is measured directly between two points, A and B. The elevation of A is 80.88 ft and the elevation of B is 60.88 ft. Assuming that no temperature correction is required, what is the horizontal distance AB?
  1. 77.16 ft
  2. 95.08 ft
  3. 100.08 ft
  4. 117.16 ft
Explanation
Answer: B - The horizontal distance AB is equal to 95.08 ft.

Solution

Use the horizontal distance equation H = (D2 - V2) 1/2

Where D = slope distance = 97.16 ft
V = elevation distance = 80.88 ft - 60.88 ft = 20 ft

H = [(97.16 ft)2 - (20 ft) 2 ] 1/2 = 95.08 ft
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