Problem

2 From a ship $600 \mathrm{~m}$ out to sea, the angle of elevation of a lighthouse on top of a vertica cliff is $18^{\circ}$. Find the height of the cliff, correct to the nearest metre.

Answer

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Answer

Round to the nearest meter: \(\boxed{195}\)

Steps

Step 1 ：Use the tangent function: \(\tan(18^\circ) = \frac{height}{600}\)

Step 2 ：Solve for height: \(height = 600 \times \tan(18^\circ)\)

Step 3 ：Calculate height: \(height \approx 194.95\)

Step 4 ：Round to the nearest meter: \(\boxed{195}\)

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