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12. Some Application of Trigonometry
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Q1 of 107 Page 12

The ratio of the length of a rod and its shadow is 1 : √3. The angle of elevation of the sum is

The ratio of the length of rod and its shadow = 1: √3

Let the angle of elevation of sun be θ


tan θ = P / B (P = perpendicular, B = base)


Here tan θ = 1: √3 =


tan θ = (by rationalizing the denominator)


θ = 30° (∵ tan 30° = )

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7

The tops of two towers of height x and y, standing on level ground, subtend angles of 30° and 60° respectively at the centre of the line joining their feet, then find x: y.

8

The angle of elevation of the top of a tower at a point on the ground is 30°. What will be the angle of elevation, if the height of the tower is tripled?

2

If the angle of elevation of a tower from a distance of 100 meters from its foot is 60°, then the height of the tower is

3

If the altitude of the sun is at 60°, then the height of the vertical tower that will cast a shadow of length 30 m is

Questions · 107
12. Some Application of Trigonometry
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