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 10-meter tall pole casts a shadow of 5 meters long. What is the angle of elevation of the sun?
Q. A building is 120 meters tall. From a point 80 meters away from the base of the building, what is the angle of elevation to the top of the building?
Q. A building is 24 meters tall. If a person is standing 32 meters away from the base of the building, what is the angle of elevation to the top of the building?
Q. A building is 25 meters tall. If a person is standing 20 meters away from the base of the building, what is the angle of elevation to the top of the building?
Q. A building is 80 meters tall. From a point on the ground, the angle of elevation to the top of the building is 60 degrees. How far is the point from the base of the building?
Q. A drone is flying at a height of 50 meters. If the angle of depression from the drone to a point on the ground is 60 degrees, how far is the point from the base of the drone's vertical line?
Q. A flagpole is 12 meters high. If a person standing 16 meters away from the base of the flagpole sees the top of the flagpole at an angle of elevation of θ, what is tan(θ)?
Q. A flagpole is 12 meters tall. If a person standing 16 meters away from the base of the flagpole sees the top of the flagpole at an angle of elevation of θ, what is tan(θ)?
Q. A flagpole is 20 meters tall. If a person is standing 15 meters away from the base of the flagpole, what is the angle of elevation to the top of the flagpole?
Q. A flagpole is 20 meters tall. If a person standing 15 meters away from the base of the flagpole looks up at an angle of elevation of 53 degrees, what is the height of the flagpole?
Q. A flagpole is 20 meters tall. If a person standing 15 meters away from the base of the flagpole sees the top of the flagpole at an angle of elevation of θ, what is sin(θ)?
Q. A flagpole is 20 meters tall. If a person stands 15 meters away from the base of the flagpole, what is the angle of elevation to the top of the flagpole?
Q. A helicopter is hovering at a height of 100 meters. If a person on the ground is 80 meters away from the point directly below the helicopter, what is the angle of elevation from the person to the helicopter?
Q. A kite is flying at a height of 100 meters. If the angle of elevation from a point on the ground to the kite is 60 degrees, how far is the point from the base of the kite?
Q. A kite is flying at a height of 100 meters. If the angle of elevation from a point on the ground to the kite is 60 degrees, how far is the point from the base of the kite's height?
Q. A kite is flying at a height of 30 meters. If the angle of elevation from a point on the ground to the kite is 60 degrees, how far is the point from the base of the kite?
Q. A kite is flying at a height of 30 meters. If the angle of elevation from a point on the ground to the kite is 60 degrees, how far is the point from the base of the kite's height?
