A tourist boat on the Ganga at Rishikesh is anchored 90 m from the foot of a vertical cliff. From the boat, the angle of elevation of the top of the cliff is 30°, and the angle of elevation of the top of a bell tower standing on the cliff is 45°. Find the exact height of the bell tower alone (in m).

Question

Accepted Answer

90 - 30 √3. Cliff: tan 30 = c/90 => c = 90√3 = 30 √3 m (about 51.96 m). Top of the bell tower: tan 45 = H/90 => H = 90 m. Bell tower alone = 90 - 30 √3 m (about 38.04 m).

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