Some Applications of Trigonometry

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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.

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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. For example, when a student looks up at the top of a towe

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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. For example, when someone on a balcony looks down at a f

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Angle of elevation is formed when we look UP (raise our head) at an object above the horizontal level, while angle of depression is formed when we look DOWN (lower our head) at an object below the hor

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To find the height of a tower, you need: (i) the horizontal distance from the observer to the base of the tower, (ii) the angle of elevation to the top of the tower, and (iii) the height of the observ

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The most commonly used trigonometric ratios are tan θ and cot θ because they relate the opposite side (height) to the adjacent side (horizontal distance). tan θ = opposite/adjacent and cot θ = adjacen

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Using tan 30° = height/distance tan 30° = h/50 1/√3 = h/50 h = 50/√3 = 50√3/3 ≈ 28.87 meters Therefore, the building height above eye level is approximately 28.87 meters.

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When finding the total height of an object, you must add the height of the observer (eye level) to the calculated height. Total height = Calculated height using trigonometry + Observer's eye level hei