Kite inclination and cliff distance

Kite inclination and cliff distance

Secondary 2
3 marks
TGM Original Questions

Core stretch

From the top of a building, the angle of elevation of the top of a 420 m cliff is \(48^\circ\), while the angle of depression of its foot is \(18^\circ\). Find the horizontal distance between the building and cliff. Give non-exact lengths, areas and other numerical values to 3 significant figures, and angles to 1 decimal place, unless otherwise stated.[3]

Solution:

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Answer:\(d=\dfrac{420}{\tan48^\circ+\tan18^\circ}=293\text{ m}\).

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