ABCDEF is a regular hexagon. Two poles are erected at C and D, which subtend angles of elevation 30° and 45° at A respectively. What is the ratio of height of pole at C to the one at D?
Answer & explanation
Correct answer: option 2
At pole D,
tan 45° = 1 : 1 (using ratios to solve tan∮)
↓
↓ 2 (diagonal)
2
At pole C,
tan 30° = 1 : \(\sqrt{3}\)
↓
↓ \(\sqrt{3}\) (diagonal)
1
Ratio = 1 : 2