RRB NTPC/ASM/CA/TA Exam > RRB NTPC/ASM/CA/TA Videos > Mathematics for RRB NTPC / ASM > Heights and Distances
Heights and Distances Video Lecture | Mathematics for RRB NTPC / ASM - RRB NTPC/ASM/CA/TA
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FAQs on Heights and Distances Video Lecture - Mathematics for RRB NTPC / ASM - RRB NTPC/ASM/CA/TA
| $1. What is the basic concept of heights and distances in trigonometry? |  |
Ans. The basic concept of heights and distances in trigonometry involves the use of right-angled triangles to determine the height of an object or the distance to an object that cannot be directly measured. By using angles of elevation and depression along with trigonometric ratios (sine, cosine, tangent), we can calculate unknown distances or heights in various practical scenarios.
| $2. How can I calculate the height of a tower using angles of elevation? | |
Ans. To calculate the height of a tower using angles of elevation, you need to measure the distance from the observer to the base of the tower and the angle of elevation to the top of the tower. Using the tangent function:
Height = Distance × tan(Angle of Elevation).
This formula allows you to find the height of the tower using the observed angle.
| $3. What are the common trigonometric ratios used in heights and distances problems? | |
Ans. The common trigonometric ratios used in heights and distances problems are sine, cosine, and tangent. These ratios relate the angles of a right triangle to the lengths of its sides:
- Sine (sin) = Opposite Side / Hypotenuse
- Cosine (cos) = Adjacent Side / Hypotenuse
- Tangent (tan) = Opposite Side / Adjacent Side.
These ratios help in solving various problems related to heights and distances.
| $4. What is the difference between angle of elevation and angle of depression? | |
Ans. The angle of elevation is the angle formed between the horizontal line from the observer's eye to the object above, while the angle of depression is the angle formed between the horizontal line from the observer's eye to the object below. Both angles are crucial for solving heights and distances problems as they help in determining the respective measurements.
| $5. Are there any real-life applications of heights and distances concepts? | |
Ans. Yes, the concepts of heights and distances have numerous real-life applications, including in fields such as architecture (calculating building heights), aviation (determining flight altitudes), construction (measuring slopes), and even in navigation (calculating distances to landmarks). Understanding these concepts is vital for professionals in these areas to ensure accuracy and safety.
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Dec 23, 2024 Last updated |
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