Vardaan Learning Institute
Answer Key: Some Applications of Trigonometry PYQ
Class: 10 (CBSE)
Subject: Mathematics
Chapter: 09
BOARD EXAM 2025 (Set 30/6/3)
Q4. A peacock on a 10 m tree observes a snake \(10\sqrt{3}\) m
away. The angle of depression is
Q36 (Case Study). Statue of Unity on 58m base. Situation I:
From point A at \(80\sqrt{3}\) m, elevation = 60�. Situation II: From point B at 40m height,
elevation = 30�, total height = 240m. Answer: (i) Diagram Sit I (ii) Diagram Sit II (iii)(a) Height
excluding base. OR (iii)(b) Horizontal distance from B and \(\tan \alpha\).
(iii)(a) \(\tan 60� = H/(80\sqrt{3}) \Rightarrow H = 240\) m. Excluding base: \(240 - 58 = 182\)
m.
(iii)(b) Distance: \(d = 200\sqrt{3}\) m. \(\tan \alpha = 18/(200\sqrt{3}) = \frac{3\sqrt{3}}{100}\).
(iii)(b) Distance: \(d = 200\sqrt{3}\) m. \(\tan \alpha = 18/(200\sqrt{3}) = \frac{3\sqrt{3}}{100}\).