Ace Your 11th Business Maths Exam: Exercise 8.2 Solutions
Introduction
When preparing for any math exam, it is essential to have a solid understanding of the concepts and formulas. This is especially true for 11th-grade Business Maths, where one needs to memorize and apply complex formulas to solve problems. Exercise 8.2 is a crucial section for 11th-grade students as it focuses on the application of trigonometric ratios in various business scenarios. In this article, we will provide you with Exercise 8.2 solutions to help you ace your Business Maths exam.
The Basics of Trigonometric Ratios
Before proceeding to the solutions, it is essential to understand the basic trigonometric ratios. Trigonometry is the study of triangles and their relationships with angles and sides.
The three primary trigonometric ratios are sine, cosine, and tangent. The sine of an angle is the ratio of the opposite side to the hypotenuse, the cosine is the ratio of the adjacent side to the hypotenuse, and the tangent is the ratio of the opposite side to the adjacent side of a right-angled triangle.
Solutions to Exercise 8.2
Exercise 8.2 provides an opportunity for students to apply their knowledge of trigonometric ratios in real-life business scenarios. Let’s take a look at some of the questions and their solutions:
1. A ladder is placed against a vertical wall at an angle of 60 degrees. If the foot of the ladder is 6 meters away from the wall, find the length of the ladder.
Solution:
Let AB be the ladder and BC be the distance between the foot of the ladder and the wall.
We know that sin 60 degrees = AB/BC
AB = BC * sin 60 degrees
AB = 6 * √3 meters
2. An observer standing on top of a 30-meter tower sees a car moving towards the tower at an angle of depression of 30 degrees. Find the distance of the car from the tower.
Solution:
Let AB be the height of the tower and BD be the distance of the car from the tower.
We know that tan 30 degrees = AB/BD
BD = AB/tan 30 degrees
BD = 30 * √3 meters
Importance of Practice
Like any other subject, the key to acing Business Maths is practice. Solving problems from Exercise 8.2 will not only help you understand the concepts better but also increase your speed and accuracy. Practice solving similar problems from various sources to gain more confidence in trigonometry.
Conclusion
Exercise 8.2 in Business Maths is a crucial section that requires a thorough understanding of trigonometric ratios. In this article, we provided you with solutions to some of the questions to help you prepare for your exam. Remember that practice is the key to success, so keep practicing and ace your Business Maths exam with ease.
