A kite string is 40 m long. Its lower end is held 1.5 m above ground, and the kite is 32 m above ground. Find the string’s inclination to the horizontal.
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.
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Answer:(a) \(49.7^\circ\); (b) \(293\) m (3 s.f.).