Indian Navy SSR Some Applications of Trigonometry — practice questions

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

Practise Some Applications of Trigonometry with Quill →

Some Applications of Trigonometry questions and exercises with answers

Showing questions 1–2 of 2.

If the angle of depression of an object from the top of a tower is 30 degrees, the angle of elevation of the tower top from the object isRead the answer and worked solution →A 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 isRead the answer and worked solution →

Worked practice questions

If the angle of depression of an object from the top of a tower is 30 degrees, the angle of elevation of the tower top from the object is

45 degrees
30 degrees
60 degrees
90 degrees

Show answer and solution

Correct answer: B. 30 degrees

1. Angle of depression and angle of elevation are alternate interior angles. 2. They are always equal when lines of sight cross parallel horizontals. 3. Hence the elevation equals 30 degrees. _Source: syllabus Mathematics, Ch 9 "Some Applications of Trigonometry", §9.2_

Open this question →

A 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

10 m
10 (square root of 3) m
20 m
5 (square root of 3) m

Show answer and 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_