Let’s solve this step by step.
We are given a treasure map with coordinates and directions. The goal is to find the final location of the treasure — marked with a red “X” — by following the path described in the worksheet.
The path starts at the bottom-left corner, which is coordinate (0, 0) — that’s where the compass rose is drawn.
From there, we follow four legs of the journey:
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Leg 1: From (0, 0)
→ Direction: 75 degrees
→ Distance: 115 mm
But wait — on the grid, each square is 1 unit. We need to figure out how many grid units 115 mm equals. However, looking at the answer sheet, they’ve already plotted the points for us! So instead of calculating from scratch, we can trace the path using the red dots shown.
Actually, let’s look at the red dots and labels on the map:
- Start at (0, 0)
- First move: 75 Deg, 115mm → ends at point near (12, 3) — that’s the first red dot.
- Second move: 330 Deg, 120mm → goes from (12, 3) to (5, 14) — second red dot.
- Third move: 50 Deg, 60mm → goes from (5, 14) to (10, 18) — third red dot.
- Fourth move: 0 Deg, 30mm → goes straight up (north) from (10, 18) to (10, 21) — and that’s where the red “X” is!
Wait — let’s double-check the last leg.
From (10, 18), moving 0 degrees means going straight north (up). Each grid line is 1 unit. Moving 30mm — but again, since the map is scaled, and the answer sheet shows the X at (10, 21), that means 30mm = 3 grid units upward.
So:
Start: (0, 0)
After Leg 1: (12, 3)
After Leg 2: (5, 14)
After Leg 3: (10, 18)
After Leg 4: (10, 21) ← Treasure!
Yes — the red “X” is clearly at column 10, row 21.
On the grid, columns are labeled along the bottom (x-axis): 0 to 19
Rows are labeled on the left (y-axis): 0 to 26
So the treasure is at
x = 10, y = 21
That’s the coordinate.
Final Answer:
(10, 21)
Parent Tip: Review the logic above to help your child master the concept of national treasure math worksheet.
