Two locations, C and D, are marked on the map. The bearing from C to D is 047°. Work out the straight-line distance between C and D. Give your answer to 3 s.f.

Mathematics
Two locations, C and D, are marked on the map. The bearing from C to D is 047°. Work out the straight-line distance between C and D. Give your answer to 3 s.f.

ScanSolve AI Answer

Answer

11.4 km

Step 1: Measure the straight-line distance between points C and D on the map using a ruler.

Measured map distance = 3.8 cm

Step 2: The map scale is 1  cm3  km1 \;cm \to 3 \;\mathrm{km}.

Actual distance d=d = map distance ×3  km/cm\times 3 \;\mathrm{km/cm}

d=3.8×3=11.4  kmd = 3.8 \times 3 = 11.4 \;\mathrm{km}

Step 3: Give the answer to 3 significant figures.

11.411.4 has 3 significant figures and includes units.

11.4 km

11.4 km

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Quick Answer

Measure the straight-line distance between points C and D on the map using a ruler.

Two locations, C and D, are marked on the map. The bearing from C to D is 047°. Work out the straight-line distance between C and D. Give your answer to 3 s.f.
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Measure the straight-line distance between points C and D on the map using a ruler. Measured map distance = 3.8 cm Step 2: The map scale is 1 \;cm 3 \;km. Actual distance d = map distance × 3 \;km/cm d = 3.8 × 3 = 11.4 \;km Step 3: Give the answer to 3 significant figures. 11.4 has 3 significant figures and includes units. 11.4 km 11.4 km