Applications of Trigonometry — Important Questions
Telangana Board · Class 10 · Mathematics
45 important questions from Applications of Trigonometry for Telangana Board Class 10 Mathematics, with answers. Written for the board exams 2027.
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Important Questions from Applications of Trigonometry
Which trigonometric ratios are commonly used in height and distance problems? (Select all correct answers)
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sin θ, cos θ, tan θ
sin θ, cos θ, and tan θ are the primary ratios used. tan θ is most common for height-distance problems as it relates opposite to adjacent sides.
From a helicopter 300m above ground, a person is observed at 45° angle of depression. The horizontal distance to the person is:
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300 meters
Using tan 45° = height/distance. Since tan 45° = 1 and height = 300m, distance = 300/1 = 300 meters.
Which of these statements about angles of elevation and depression are true? (Select all correct)
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Angle of elevation is measured upward from horizontal, Angle of depression is measured downward from horizontal, Angle of depression from one point equals angle of elevation from the other
Angles of elevation and depression are measured from horizontal lines. They form alternate angles in parallel line geometry.
A tree is broken and bends to touch the ground at 30° angle, 8m from its base. The original height of the tree was:
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16 meters
Let the broken part be x meters. Using trigonometry: x cos 30° = remaining height, x sin 30° = 8. Solving: x = 16m, so original height = 16m.
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