Mathematics
The horizontal distance between two towers is 120 m. The angle of elevation of the top and angle of depression of the bottom of the first tower as observed from the top of the second tower is 30° and 24°, respectively. Find the height of the two towers. Give your answer correct to 3 significant figures.
Heights & Distances
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Answer
From figure,
AB is the first tower and CD is the second tower.
From figure,
EC = BD = 120 m.
In △AEC,
In △EBC,
From figure,
⇒ CD = EB = 53.4 meters.
⇒ AB = AE + EB = 69.28 + 53.4 = 122.68 ≈ 123 meters.
Hence, height of two towers = 123 meters and 53.4 meters.
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