The correct answer is option B i.e. (7.6, 8.8)
<h3>What is Distance?</h3>The length along a line or line segment between two points on the line or line segment.
Let the coordinates of the treasure be (x, y).
Let d₁ = distance from the rock to the treasure.
Let d₂ = distance from the tree to the treasure.
d₁ =
d₂ =
We want d₁/d₂ = 5/9 in order to locate the treasure.
Note that 5/9 = 0.556 (approx)
Test (11.4, 14.2)
d₁ = 14.8, d₂ = 8.2, d₁/d₂ = 1.8 Incorrect
Test (7.6, 8.8)
d₁ = 8.2, d₂ = 14.8, d₁/d₂ = 0.554 Correct
Test (5.7, 7.5)
d₁ = 6.13, d₂ = 16.98, d₁/d₂ = 0.36 Incorrect
Test (10.2, 12.6)
d₁ = 12.8, d₂ = 10.2, d₁/d₂ = 1.255 Incorrect
Thus, The correct answer is option B i.e. (7.6, 8.8).
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