Some Applications of Trigonometry
Gujarat Board · Class 10 · Mathematics
Flashcards for Some Applications of Trigonometry — Gujarat Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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What is the line of sight?
Answer
The line of sight is the line drawn from the eye of an observer to the point in the object being viewed by the observer. It represents the direction in which the observer is looking.
Define angle of elevation.
Answer
The angle of elevation is the angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level. It occurs when we raise our head to look at an object abo…
Define angle of depression.
Answer
The angle of depression is the angle formed by the line of sight with the horizontal when the point being viewed is below the horizontal level. It occurs when we lower our head to look at an object be…
When do we use the angle of elevation?
Answer
We use the angle of elevation when looking at objects that are above our horizontal eye level, such as the top of a building, a bird flying overhead, or the peak of a mountain from ground level.
When do we use the angle of depression?
Answer
We use the angle of depression when looking at objects that are below our horizontal eye level, such as looking down at a car from a building window or viewing a flower pot from a balcony.
What three pieces of information do you need to find the height of a building using trigonometry?
Answer
1. The horizontal distance from the observer to the base of the building 2. The angle of elevation to the top of the building 3. The height of the observer (eye level)…
Which trigonometric ratios are most commonly used in height and distance problems?
Answer
Tangent (tan) and Cotangent (cot) are most commonly used because they relate the opposite side (height) to the adjacent side (horizontal distance) in right triangles formed by angles of elevation or d…
If the angle of elevation to the top of a tower is θ and the horizontal distance is d, what is the height of the tower above eye level?
Answer
Height above eye level = d × tan θ This comes from the relationship: tan θ = height/distance, so height = distance × tan θ…
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