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 kite is flying at a height of 50 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 50 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 50 meters. If the angle of elevation from a point on the ground is 30 degrees, how far is the point from the base of the kite?
Q. A kite is flying at a height of 60 meters. If the angle of elevation from a point on the ground to the kite is 30 degrees, how far is the point from the base of the kite?
Q. A kite is flying at a height of 60 meters. If the angle of elevation from a point on the ground to the kite is 45 degrees, how far is the point from the base of the kite?
Q. A ladder is leaning against a wall. If the foot of the ladder is 6 feet away from the wall and the top of the ladder reaches a height of 8 feet, what is the length of the ladder?
A.
10 feet
B.
12 feet
C.
14 feet
D.
16 feet
Solution
Using the Pythagorean theorem, length of ladder = √(6^2 + 8^2) = √(36 + 64) = √100 = 10 feet.
Q. A ladder is leaning against a wall. If the foot of the ladder is 6 meters away from the wall and the top of the ladder reaches a height of 8 meters, what is the length of the ladder?
A.
10 meters
B.
12 meters
C.
14 meters
D.
16 meters
Solution
Using the Pythagorean theorem, length of ladder = √(6^2 + 8^2) = √(36 + 64) = √100 = 10 meters.
Q. A ladder is leaning against a wall. If the foot of the ladder is 6 meters away from the wall and the top of the ladder reaches a height of 8 meters on the wall, what is the length of the ladder?
A.
10 meters
B.
12 meters
C.
14 meters
D.
16 meters
Solution
Using the Pythagorean theorem, length of ladder = √(6^2 + 8^2) = √(36 + 64) = √100 = 10 meters.
Q. A ladder leans against a wall making an angle of 60 degrees with the ground. If the foot of the ladder is 5 meters away from the wall, what is the height of the ladder on the wall?
Q. A man is 50 meters away from a building. If he looks up at an angle of 60 degrees to see the top of the building, what is the height of the building?
Q. A man is standing 10 meters away from a vertical pole. If he looks at the top of the pole at an angle of elevation of 60 degrees, what is the height of the pole?
Q. A man is standing 10 meters away from a vertical pole. If he looks up at an angle of 30° to see the top of the pole, what is the height of the pole?
Q. A man is standing 12 meters away from a vertical pole. If he looks up at an angle of 30 degrees to see the top of the pole, what is the height of the pole?
Q. A man is standing 30 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?
Q. A man is standing 30 meters away from a tree. If the angle of elevation from his eyes to the top of the tree is 60 degrees, what is the height of the tree?
Q. A man 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?
