PROBLEM
– 20
A man on the top of the vertical observation
tower observes a car moving at a uniform speed directly towards it. If it takes
12 minutes for the angle of depression to change from 30 degrees to 45 degrees,
how soon after this will the car reach the observation tower.
The observation tower and moving car example makes the concept of angles of depression much easier to understand and shows how trigonometry can be applied to real-life situations. I also like that the problem focuses on understanding the relationship between angles, distance, and time rather than simply using formulas. Posts like this can be especially helpful for students who find application-based questions challenging. With regular practice and proper guidance, concepts like these become much clearer. Online maths tuition can also provide students with personalised explanations and extra practice, making difficult topics in mathematics easier to approach and understand.
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