Chapter 9 : Some Applications of Trigonometry
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Which trigonometric ratio is most useful for finding height directly when hypotenuse is known?
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If angle of elevation of the top of a tower from a point is 30° and the distance is 40 m, the height is:
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A building and its shadow are equal in length. The angle of elevation is:
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The value of cos 45° is:
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A flagstaff 12 m high casts a shadow 4√3 m long. Angle of elevation of the sun is:
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If the observer moves closer to the tower, the angle of elevation will:
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The height of a building is 20√3 m and angle of elevation is 60°. Distance from building is:
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The value of tan 45° is:
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If a tower height is 25 m and angle of elevation is 45°, distance from tower is:
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A vertical pole 15 m high casts a shadow 15√3 m long. The angle of elevation of the sun is:
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Which ratio relates perpendicular and base?
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A tree casts a shadow of length equal to √3 times its height. The angle of elevation is:
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If the angle of elevation to the top of a tower is 60° and distance is 10 m, then height is:
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A man 1.5 m tall stands 28.5 m from a tower. Angle of elevation of tower top is 45°. Height of tower is:
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The value of cos 60° is:
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The angle between the horizontal and line of sight to an object below eye level is:
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A building is 60 m high. The angle of elevation from a point is 30°. Distance from the point is:
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If the angle of elevation is small, the shadow formed will be:
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A tower casts a shadow 20 m long when the angle of elevation is 45°. Height of tower is:
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The value of sin 60° is:
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A 10 m pole casts a 10√3 m shadow. The angle of elevation of the sun is:
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The angle formed by the line of sight with the horizontal when looking upward is:
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A person standing 30 m away from a building sees its top at 60°. Height of the building is:
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If tan θ = √3, then θ equals:
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The angle of elevation of the top of a tower from a point is 45°. If the point is 25 m from the tower, height of tower is:
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A tower is 50 m high. From a point, the angle of elevation is 30°. Distance of the point from the tower is:
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The angle of depression from the top of a lighthouse to a boat is 30°. This angle equals the angle of elevation from the boat because:
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If the height of a building is doubled, its shadow at the same angle of elevation will:
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The value of cot 45° is:
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A man observes the top of a tower at an angle of elevation 45°. On moving 20 m closer, the angle becomes 60°. Height of the tower is:
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The shadow of a pole decreases when the sun rises higher because the angle of elevation:
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If the angle of elevation of the top of a tower is 90°, then the observer is:
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A tower and its shadow are equal in length. The angle of elevation of the sun is:
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A building is 40 m high. The angle of elevation from a point is 60°. Distance of the point from the building is:
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The value of tan 60° is:
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If sin θ = 1/2, then θ is:
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A man standing 20 m away from a building observes its top at an angle of elevation 30°. Height of the building is:
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The angle of elevation of the top of a tower from a point 50 m away is 45°. The height of the tower is:
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If a tree casts a shadow 10 m long and the angle of elevation of the sun is 45°, then the height of the tree is:
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Which trigonometric ratio is used in finding height when base and angle are known?
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A kite is flying at a height of 60 m. The angle of elevation is 30°. The length of the string is:
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The angle of elevation of the top of a building from a point on the ground is 60°. If the building is 30 m high, the distance of the point from the building is:
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If cot θ = √3, then θ equals:
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A pole casts a shadow equal to its height. The angle of elevation of the sun is:
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If the angle of elevation of the sun changes from 30° to 60°, the length of the shadow of a pole will:
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The height of a tower is 20 m and the angle of elevation from a point is 45°. The distance from the point to the tower is:
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If tan θ = 1, then θ is:
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A ladder 5 m long reaches a window 4 m above the ground. The distance of the ladder’s foot from the wall is:
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The angle formed when looking down from a higher point to a lower point is called:
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The line of sight from an observer’s eye to an object above the horizontal line is called:
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