Indian Navy Pilot Some Applications of Trigonometry — practice questions

Explore 2 free Some Applications of Trigonometry questions in Indian Navy Pilot Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Some Applications of Trigonometry questions and exercises with answers

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From a point on the ground 60 m from the foot of a building, the angle of elevation of the top is 30 degrees. The height of the building isRead the answer and worked solution →A boy 1.5 m tall stands 8.5 m from a lamp post. His shadow is 4.5 m long. The height of the lamp post isRead the answer and worked solution →

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From a point on the ground 60 m from the foot of a building, the angle of elevation of the top is 30 degrees. The height of the building is

60/(square root of 3) m
60 (square root of 3) m
30 m
20 (square root of 3) m

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Correct answer: D. 20 (square root of 3) m

1. tan(30) = h / 60. 2. h = 60 × tan(30) = 60 × 1/(square root of 3) = 60/(square root of 3). 3. Rationalize: h = 60 (square root of 3)/3 = 20 (square root of 3) m. _Source: syllabus Mathematics, Ch 9 "Some Applications of Trigonometry", §9.2_

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A boy 1.5 m tall stands 8.5 m from a lamp post. His shadow is 4.5 m long. The height of the lamp post is

3.83 m
4.5 m
4.33 m
5 m

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Correct answer: C. 4.33 m

1. Similar triangles: lamp/(boy distance + shadow) = boy/shadow. 2. lamp/(8.5 + 4.5) = 1.5/4.5. 3. lamp = 13 × 1.5 / 4.5 = 19.5 / 4.5 ≈ 4.33 m. _Source: syllabus Mathematics, Ch 9 "Some Applications of Trigonometry", §9.2_