JAMB Mathematics 2019 Paper

Concept: Use the tangent ratio in a right-angled triangle to relate the angle of elevation, the distance on the ground, and the height of the tree.Explanation: Let $h$ be the height of the tree.The angle of elevation is $78^\circ$, and the horizontal distance is 60 m.Using the tangent ratio:$$\tan 78^\circ = \frac{h}{60}$$Multiply both sides by 60:$$h = 60 \tan 78^\circ$$Given $\tan 78^\circ \approx 4.705$, we get:$$h = 60 \times 4.705 = 282.3$$Rounding to the nearest whole number:$$h \approx 282 \text{ m}$$Answer: 282 m (Option C).