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.
Solution
Step 1 :Use the tangent function: \(\tan(18^\circ) = \frac{height}{600}\)
Step 2 :Solve for height: \(height = 600 \times \tan(18^\circ)\)