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Uttarakhand Board Class 10 Some Applications of Trigonometry — practice questions

Explore 20 free Some Applications of Trigonometry questions in Uttarakhand Board Class 10 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

Showing questions 1–20 of 20.

The angle of elevation is the angle measuredRead the answer and worked solution →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 30 m high tower casts a shadow 30 m long. The angle of elevation of the sun isRead the answer and worked solution →The height of a pole that casts a shadow equal to its own length is found at the time when the sun is atRead the answer and worked solution →For an angle of elevation of 60 degrees, the value of tan isRead the answer and worked solution →The line drawn from the eye of the observer to the object viewed is calledRead the answer and worked solution →A pole of height 10 m makes an angle of elevation of 30 degrees at a point on the ground. The distance of the point from the foot of the pole isRead the answer and worked solution →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 tower stands vertically on the ground. The angle of elevation of its top from a point 30 m away is 60 degrees. The height of the tower isRead the answer and worked solution →A vertical pole 10 m long casts a shadow whose length is 10 (square root of 3) m. The angle of elevation of the sun isRead the answer and worked solution →An observer 1.5 m tall is 20.5 m away from a tower 22 m high. The angle of elevation of the top of the tower from the eye of the observer isRead the answer and worked solution →A ladder 15 m long makes an angle of 60 degrees with the wall. The height of the wall reached by the ladder 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 →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 pole leans against a wall such that its tip is 24 m above ground and its foot is 7 m from the wall. The length of the pole 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 angle of elevation is the angle measured

  1. From the horizontal, looking up
  2. From the vertical, looking down
  3. From the horizontal, looking down
  4. From the vertical, looking up
Show answer and solution

Correct answer: A. From the horizontal, looking up

1. Angle of elevation is formed when the observer looks up at an object. 2. It is measured from the horizontal line of sight upward. 3. Hence option B. _Source: syllabus Mathematics, Ch 9 "Some Applications of Trigonometry", §9.2_

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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

  1. 45 degrees
  2. 30 degrees
  3. 60 degrees
  4. 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_

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A 30 m high tower casts a shadow 30 m long. The angle of elevation of the sun is

  1. 30 degrees
  2. 60 degrees
  3. 45 degrees
  4. 90 degrees
Show answer and solution

Correct answer: C. 45 degrees

1. tan(theta) = tower/shadow = 30/30 = 1. 2. theta = arctan(1) = 45 degrees. 3. Hence angle of elevation is 45 degrees. _Source: syllabus Mathematics, Ch 9 "Some Applications of Trigonometry", §9.2_

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