Height and Distance

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Height and Distance MCQ & Objective Questions

Understanding the concepts of "Height and Distance" is crucial for students preparing for various school and competitive exams. This topic not only enhances your problem-solving skills but also plays a significant role in scoring well in exams. Practicing MCQs and objective questions related to Height and Distance helps you grasp essential concepts and improves your exam preparation, ensuring you are well-equipped to tackle important questions.

What You Will Practise Here

  • Basic concepts of Height and Distance
  • Trigonometric ratios and their applications
  • Formulas for calculating heights and distances
  • Real-life applications of Height and Distance problems
  • Diagrams and illustrations for better understanding
  • Commonly used theorems related to angles of elevation and depression
  • Practice questions with detailed solutions

Exam Relevance

The topic of Height and Distance is frequently featured in CBSE, State Boards, and competitive exams like NEET and JEE. Students can expect questions that involve calculating heights using angles of elevation and depression, as well as problems that require the application of trigonometric ratios. Understanding the common question patterns will help you tackle these problems efficiently and effectively during your exams.

Common Mistakes Students Make

  • Confusing angles of elevation with angles of depression
  • Incorrectly applying trigonometric ratios in problem-solving
  • Neglecting to draw diagrams, which can lead to misunderstandings
  • Overlooking units of measurement in calculations
  • Failing to check for the context of the problem before solving

FAQs

Question: What are the key formulas for Height and Distance problems?
Answer: The primary formulas involve the basic trigonometric ratios: sin, cos, and tan, which relate the angles to the sides of the triangles formed in height and distance problems.

Question: How can I improve my accuracy in solving Height and Distance MCQs?
Answer: Regular practice of objective questions, along with reviewing common mistakes, will significantly enhance your accuracy and confidence in this topic.

Now is the time to boost your understanding of Height and Distance! Dive into our practice MCQs and test your knowledge to excel in your exams. Remember, consistent practice leads to success!

Q. A man is standing 50 meters away from a building. If the angle of elevation to the top of the building is 30 degrees, what is the height of the building?
  • A. 25√3
  • B. 15√3
  • C. 20√3
  • D. 10√3
Q. A man is standing 50 meters away from a building. If the angle of elevation to the top of the building is 60 degrees, what is the height of the building?
  • A. 25 meters
  • B. 30 meters
  • C. 35 meters
  • D. 40 meters
Q. A person is 12 meters away from a building. If the angle of elevation to the top of the building is 30 degrees, what is the height of the building?
  • A. 6 meters
  • B. 12 meters
  • C. 18 meters
  • D. 24 meters
Q. A person is 25 meters away from a cliff. If the angle of elevation to the top of the cliff is 45 degrees, what is the height of the cliff?
  • A. 25 meters
  • B. 30 meters
  • C. 35 meters
  • D. 40 meters
Q. A person is 25 meters away from a tower and sees the top of the tower at an angle of elevation of 30 degrees. What is the height of the tower?
  • A. 12.5 meters
  • B. 25 meters
  • C. 25√3 meters
  • D. 50 meters
Q. A person is 40 meters away from a hill. If the angle of elevation to the top of the hill is 30 degrees, what is the height of the hill?
  • A. 20√3 meters
  • B. 40 meters
  • C. 30 meters
  • D. 10√3 meters
Q. A person is 40 meters away from a tower. If the angle of elevation to the top of the tower is 30°, what is the height of the tower?
  • A. 20 meters
  • B. 30 meters
  • C. 40 meters
  • D. 50 meters
Q. A person is 50 meters away from a cliff. If the angle of elevation to the top of the cliff is 30 degrees, what is the height of the cliff?
  • A. 25√3 meters
  • B. 50√3 meters
  • C. 75√3 meters
  • D. 100√3 meters
Q. A person is 50 meters away from a tower. If the angle of elevation to the top of the tower is 30 degrees, what is the height of the tower?
  • A. 25√3 meters
  • B. 50√3 meters
  • C. 75√3 meters
  • D. 100√3 meters
Q. A person is looking at the top of a 40-meter tall building from a distance of 50 meters. What is the angle of elevation?
  • A. 30 degrees
  • B. 36.87 degrees
  • C. 45 degrees
  • D. 53.13 degrees
Q. A person is looking at the top of a hill from a distance of 50 meters. If the angle of elevation is 30 degrees, what is the height of the hill?
  • A. 25 meters
  • B. 50 meters
  • C. 75 meters
  • D. 100 meters
Q. A person is standing 10 meters away from a vertical pole. If the angle of elevation to the top of the pole is 60 degrees, what is the height of the pole?
  • A. 5√3 meters
  • B. 10 meters
  • C. 15 meters
  • D. 20 meters
Q. A person is standing 15 meters away from a building. If the angle of elevation to the top of the building is 30 degrees, what is the height of the building?
  • A. 15√3 meters
  • B. 10 meters
  • C. 5 meters
  • D. 20 meters
Q. A person is standing 15 meters away from a tree. If the angle of elevation to the top of the tree is 45 degrees, what is the height of the tree?
  • A. 10 meters
  • B. 15 meters
  • C. 20 meters
  • D. 25 meters
Q. A person is standing 15 meters away from a vertical pole. If the angle of elevation to the top of the pole is 60 degrees, what is the height of the pole?
  • A. 15√3 meters
  • B. 10√3 meters
  • C. 20 meters
  • D. 25 meters
Q. A person is standing 25 meters away from a building. If the angle of elevation to the top of the building is 60 degrees, what is the height of the building?
  • A. 25√3 meters
  • B. 30 meters
  • C. 35 meters
  • D. 40 meters
Q. A person is standing 25 meters away from a hill. If the angle of elevation to the top of the hill is 37 degrees, what is the height of the hill?
  • A. 15 meters
  • B. 20 meters
  • C. 25 meters
  • D. 30 meters
Q. A person is standing 25 meters away from a vertical pole. If the angle of elevation to the top of the pole is 53 degrees, what is the height of the pole?
  • A. 15 meters
  • B. 20 meters
  • C. 25 meters
  • D. 30 meters
Q. A person is standing 25 meters away from a vertical pole. If the angle of elevation to the top of the pole is 30 degrees, what is the height of the pole?
  • A. 12.5 meters
  • B. 25 meters
  • C. 15√3 meters
  • D. 20 meters
Q. A person is standing 25 meters away from a wall. If the angle of elevation to the top of the wall is 75 degrees, what is the height of the wall?
  • A. 24.5 meters
  • B. 25 meters
  • C. 26.5 meters
  • D. 27.5 meters
Q. A person is standing 30 meters away from a building. If the angle of elevation to the top of the building is 45 degrees, what is the height of the building?
  • A. 30 meters
  • B. 45 meters
  • C. 60 meters
  • D. 75 meters
Q. A person is standing 30 meters away from a building. If the angle of elevation to the top of the building is 60°, what is the height of the building?
  • A. 15√3 meters
  • B. 30 meters
  • C. 15 meters
  • D. 20 meters
Q. A person is standing 30 meters away from a tree. If the angle of elevation to the top of the tree is 60 degrees, what is the height of the tree?
  • A. 30√3
  • B. 20√3
  • C. 10√3
  • D. 40√3
Q. A person is standing 30 meters away from the base of a building. If the angle of elevation to the top of the building is 60 degrees, what is the height of the building?
  • A. 15√3 meters
  • B. 30 meters
  • C. 20√3 meters
  • D. 25 meters
Q. A person is standing 40 meters away from a building. If the angle of elevation to the top of the building is 45 degrees, what is the height of the building?
  • A. 20 meters
  • B. 30 meters
  • C. 40 meters
  • D. 45 meters
Q. A person is standing 40 meters away from a building. If the angle of elevation to the top of the building is 30 degrees, what is the height of the building?
  • A. 20 meters
  • B. 23 meters
  • C. 30 meters
  • D. 35 meters
Q. A person is standing 40 meters away from a statue. If the angle of elevation to the top of the statue is 60 degrees, what is the height of the statue?
  • A. 20√3 meters
  • B. 40√3 meters
  • C. 60√3 meters
  • D. 80√3 meters
Q. A person is standing 40 meters away from a tower. If the angle of elevation to the top of the tower is 45 degrees, what is the height of the tower?
  • A. 20 meters
  • B. 30 meters
  • C. 40 meters
  • D. 45 meters
Q. A person is standing 45 meters away from a building. If the angle of elevation to the top of the building is 45 degrees, what is the height of the building?
  • A. 30 meters
  • B. 45 meters
  • C. 60 meters
  • D. 75 meters
Q. A person is standing 50 meters away from a building. If the angle of elevation to the top of the building is 30 degrees, what is the height of the building?
  • A. 25 meters
  • B. 50 meters
  • C. 75 meters
  • D. 100 meters
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