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. From a point 40 meters away from the base of a tower, the angle of elevation to the top of the tower is 30 degrees. What is the height of the tower?
Q. From a point 80 meters away from the base of a tower, the angle of elevation to the top of the tower is 30 degrees. What is the height of the tower?
Q. From a point on the ground, the angle of elevation to the top of a 12-meter tall pole is 60 degrees. How far is the point from the base of the pole?
Q. From a point on the ground, the angle of elevation to the top of a 20-meter tall building is 45 degrees. How far is the point from the base of the building?
Q. From a point on the ground, the angle of elevation to the top of a 40-meter tall building is 60 degrees. How far is the point from the base of the building?
Q. From a point on the ground, the angle of elevation to the top of a 50-meter tall building is 45 degrees. How far is the point from the base of the building?
Q. From a point on the ground, the angle of elevation to the top of a building is 45 degrees. If the point is 20 meters away from the building, what is the height of the building?
Q. From a point on the ground, the angle of elevation to the top of a hill is 30 degrees. If the hill is 100 meters high, how far is the point from the base of the hill?
Q. From a point on the ground, the angle of elevation to the top of a hill is 30 degrees. If the distance from the point to the base of the hill is 50 meters, what is the height of the hill?
Q. From a point on the ground, the angle of elevation to the top of a hill is 30 degrees. If the distance from the point to the base of the hill is 20 meters, what is the height of the hill?
Q. From a point on the ground, the angle of elevation to the top of a hill is 30 degrees. If the point is 100 meters away from the base of the hill, what is the height of the hill?
Q. From a point on the ground, the angle of elevation to the top of a hill is 37 degrees. If the distance from the point to the base of the hill is 50 meters, what is the height of the hill?
Q. From a point on the ground, the angle of elevation to the top of a hill is 37 degrees. If the point is 50 meters away from the base of the hill, what is the height of the hill?
Q. From a point on the ground, the angle of elevation to the top of a hill is 45 degrees. If the distance from the point to the base of the hill is 20 meters, what is the height of the hill?
Q. From a point on the ground, the angle of elevation to the top of a tower is 30 degrees. If the tower is 10 meters tall, how far is the point from the base of the tower?
Q. From a point on the ground, the angle of elevation to the top of a tower is 30 degrees. If the point is 10 meters away from the base of the tower, what is the height of the tower?
Q. From a point on the ground, the angle of elevation to the top of a tower is 45 degrees. If the point is 10 meters away from the base of the tower, what is the height of the tower?
Q. From a point on the ground, the angle of elevation to the top of a tower is 45°. If the point is 50 meters away from the base of the tower, what is the height of the tower?
Q. From a point on the ground, the angle of elevation to the top of a tree is 45 degrees. If the tree is 10 meters tall, how far is the point from the base of the tree?
Q. From a point on the ground, the angle of elevation to the top of a tree is 45 degrees. If the point is 20 meters away from the base of the tree, what is the height of the tree?
Q. From the top of a 40-meter high tower, the angle of depression to a point on the ground is 60 degrees. How far is the point from the base of the tower?
Q. From the top of a 40-meter high tower, the angle of depression to a point on the ground is 45 degrees. How far is the point from the base of the tower?
Q. From the top of a 50-meter high building, the angle of depression to a point on the ground is 30 degrees. How far is the point from the base of the building?
Q. From the top of a hill, the angle of depression to a car parked on the ground is 45 degrees. If the height of the hill is 100 meters, how far is the car from the base of the hill?
Q. From the top of a hill, the angle of depression to a car parked on the ground is 60 degrees. If the height of the hill is 80 meters, how far is the car from the base of the hill?
Q. From the top of a hill, the angle of depression to a car parked on the road is 30 degrees. If the height of the hill is 60 meters, how far is the car from the base of the hill?
