SSC CGL Exam > SSC CGL Videos > Quantitative Aptitude for SSC CGL > Tricks: Heights & Distance - 2
Tricks: Heights & Distance - 2 Video Lecture | Quantitative Aptitude for SSC CGL
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FAQs on Tricks: Heights & Distance - 2 Video Lecture - Quantitative Aptitude for SSC CGL
| 1. How do you calculate the distance between two heights using trigonometry? |  |
Ans. To calculate the distance between two heights using trigonometry, you can use the concept of tangent. First, measure the angle of elevation from the observer to the top of the first height. Then, measure the angle of depression from the observer to the base of the second height. Subtract the angle of depression from the angle of elevation. Next, calculate the tangent of this difference. Finally, multiply the tangent value by the distance between the observer and the first height to find the distance between the two heights.
| 2. What is the formula to determine the height of an object using trigonometry? | |
Ans. The formula to determine the height of an object using trigonometry is h = d * tan(a), where h is the height of the object, d is the distance from the observer to the object, and a is the angle of elevation from the observer to the top of the object. By measuring the angle and the distance, you can calculate the height of the object using this formula.
| 3. Can trigonometry be used to calculate the height of a mountain? | |
Ans. Yes, trigonometry can be used to calculate the height of a mountain. By measuring the distance between two points on a level surface and measuring the angles of elevation and depression to the top and base of the mountain, respectively, you can apply trigonometric principles to calculate the height of the mountain. This method is commonly used in surveying and mapping.
| 4. How can I determine the height of a building without measuring it directly? | |
Ans. You can determine the height of a building without measuring it directly by using trigonometry. Find a location where you can see the top and base of the building clearly. Measure the distance from this location to the base of the building. Then, measure the angle of elevation from this location to the top of the building. By applying the trigonometric formula h = d * tan(a), where h is the height, d is the distance, and a is the angle of elevation, you can calculate the height of the building.
| 5. What are some practical applications of understanding heights and distances using trigonometry? | |
Ans. Understanding heights and distances using trigonometry has several practical applications. It is used in fields such as architecture, engineering, surveying, and navigation. Trigonometry helps in calculating the height of tall structures, distances between objects, angles of elevation and depression, and determining the size and dimensions of objects that are difficult to measure directly. It is also used in various outdoor activities such as hiking, rock climbing, and aerial photography for planning routes and estimating distances.
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Nov 23, 2024 Last updated |
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