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If from point 100 m above the ground the angles of depression of two objects due south on the ground are 60º and 45º, then the distance between the objects is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?

Ref: https://edurev.in/question/502873/If-from-point-100-m-above-the-ground-the-angles-of-depression-of-two-objects-due-south-on-the-ground

Question with solution: Application of trigonometry - Government Jobs
Let A and B are 2 objects due South and AB = x m
Let OL be the tower, OL = 100 m
Let ∠OBL = 45°, ∠OAL = 60°.
In ΔOLA,

Question with solution: Application of trigonometry - Government Jobs
Now, distance between the two objects = Question with solution: Application of trigonometry - Government Jobs

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FAQs on Question with solution: Application of trigonometry - Government Jobs

1. What are some government jobs that require knowledge of trigonometry?
Ans. Some government jobs that require knowledge of trigonometry include surveyors, civil engineers, air traffic controllers, naval architects, and astronomers. Trigonometry is essential in these professions for measuring angles, distances, heights, and making accurate calculations.
2. How is trigonometry applied in government jobs?
Ans. Trigonometry is applied in government jobs primarily for surveying and measuring purposes. For example, surveyors use trigonometry to determine the height, distance, and angles of various land features. Civil engineers use trigonometry to design structures, calculate slopes, and determine the dimensions of construction projects.
3. Can you provide an example of how trigonometry is used in government jobs?
Ans. Yes, an example of how trigonometry is used in government jobs is by air traffic controllers. They use trigonometry to calculate the distance between airplanes, determine their altitude, and plot their course. By using trigonometric principles, they can ensure the safe and efficient movement of aircraft.
4. How can knowledge of trigonometry benefit individuals pursuing government jobs?
Ans. Knowledge of trigonometry can benefit individuals pursuing government jobs by providing them with the necessary skills to perform their duties accurately and efficiently. It can enhance their problem-solving abilities, enable them to make precise measurements, and contribute to the overall success of their work.
5. Are there any specific exams or certifications that require knowledge of trigonometry for government jobs?
Ans. Yes, there are specific exams or certifications that require knowledge of trigonometry for government jobs. For example, the National Council of Examiners for Engineering and Surveying (NCEES) offers exams such as the Fundamentals of Engineering (FE) and Professional Engineering (PE) exams that assess candidates' knowledge in trigonometry and other related subjects. These certifications are often required for individuals pursuing careers in engineering and surveying within the government sector.
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