alleryA man on a 10 m cliff observes a boat at an angle of depression of 30 degrees. The distance of the boat from the foot of the cliff is
A10 m
B10 (square root of 3) m
C20 m
D5 (square root of 3) m
Answer & Solution
Correct answer: B. 10 (square root of 3) m
1. tan(30) = 10 / d.
2. d = 10 / tan(30) = 10 × (square root of 3) = 10 (square root of 3).
3. Hence the boat is 10 (square root of 3) m away.
_Source: syllabus Mathematics, Ch 9 "Some Applications of Trigonometry", §9.2_
Keep practising Introduction to Trigonometry
Browse all Introduction to Trigonometry questions for Andhra Pradesh SSC (Class 10), or explore more Mathematics topics.
Related questions
A pole leans against a wall such that its tip is 24 m above ground and its foot is 7 m froThe shadow of a tower at a time t is 3 times longer than its shadow when the angle of elevA boy 1.5 m tall stands 8.5 m from a lamp post. His shadow is 4.5 m long. The height of thA ladder 15 m long makes an angle of 60 degrees with the wall. The height of the wall reacAn observer 1.5 m tall is 20.5 m away from a tower 22 m high. The angle of elevation of thA vertical pole 10 m long casts a shadow whose length is 10 (square root of 3) m. The anglA tower stands vertically on the ground. The angle of elevation of its top from a point 30From a point on the ground 60 m from the foot of a building, the angle of elevation of the