Indian Navy 10+2 B.Tech Cadet Some Applications of Trigonometry — practice questions

Explore 6 free Some Applications of Trigonometry questions in Indian Navy 10+2 B.Tech Cadet 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 1–6 of 6.

The shadow of a tower at a time t is 3 times longer than its shadow when the angle of elevation of the sun is 60 degrees. The angle of elevation at time t 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 →Match each sight-line termRead the answer and worked solution →Looking up or looking down?Read the answer and worked solution →Key in the trigonometry answerRead the answer and worked solution →True or false: heights and distancesRead the answer and worked solution →

Worked practice questions

The shadow of a tower at a time t is 3 times longer than its shadow when the angle of elevation of the sun is 60 degrees. The angle of elevation at time t is

60 degrees
15 degrees
45 degrees
30 degrees

Show answer and solution

Correct answer: D. 30 degrees

1. When sun is at 60 degrees, shadow = h/tan(60) = h/(square root of 3). 2. New shadow = 3 × h/(square root of 3) = h × square root of 3. 3. tan(new) = h / (h square root of 3) = 1/(square root of 3); so new = 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_

Open this question →

Match each sight-line term

Read exercise and reference answers

Matching pairs

Left
Line of sight
Right
Line from the eye to the point viewed
Left
Elevation angle
Right
Made with the horizontal, looking up
Left
Depression angle
Right
Made with the horizontal, looking down
Left
Horizontal
Right
The level line the angle is measured from

Instructions

Tap a term on the left, then tap what it means.

_Source: syllabus Maths Ch9 Applications of Trigonometry, 9.1 Heights and Distances_

Open this exercise →

How to practise

Choose a Some Applications of Trigonometry question and try to work out your answer.
Open the question to check the correct answer and read its worked solution.
Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.