Two Angles of Elevation Problems

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1) From a point 80 m away from a tower, the angle of elevation is 30°. From a point 40 m closer (at 40 m), the angle is 49°. Find the tower's height (rounded to the nearest whole number).
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About This Quiz
Two Angles Of Elevation Problems - Quiz

What if you take two measurements from different spots to find a height you can’t reach? In this quiz, you’ll solve two-angle elevation problems using trigonometry. You’ll compare observations from two distances, build equations, and find the height of towers, buildings, and hills. Each question helps you connect geometry... see moreand algebra in real-world contexts — boosting your accuracy and understanding of trigonometric problem-solving! see less

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2) From a point 100 m away from a building, the angle of elevation is 25°. From 50 m closer (at 50 m), the angle is 43°. Find the building's height (rounded to the nearest whole number).
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3) From 120 m away from a pole, the elevation angle is 20°. From 60 m closer (at 60 m), the angle is 36°. Find the pole's height (rounded to the nearest whole number).
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4) From 150 m away, the elevation to a tower is 28°. From 50 m away, the elevation is 58°. Find the height (rounded to the nearest whole number).
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5) A person observes a building 90 m away at 22°. From 45 m away, the angle is 42°. Find the height (rounded to the nearest whole number).
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6) From 200 m away, elevation to a hilltop is 15°. From 100 m away, it is 28°. Find the hill's height (rounded to the nearest whole number).
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7) From 50 m away, elevation to a statue is 35°. From 25 m away, the angle is 55°. Find the height (rounded to the nearest whole number).
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8) From 180 m away, elevation to a cliff top is 20°. From 90 m away, it is 36°. Find the height (rounded to the nearest whole number).
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9) From 70 m away, elevation to a pole is 25°. From 35 m away, it is 45°. Find the height (rounded to the nearest whole number).
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10) From 60 m away, elevation to a tower is 30°. From 30 m away, it is 49°. Find the height (rounded to the nearest whole number).
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11) From 160 m away, elevation to a building is 20°. From 80 m away, it is 36°. Find the height (rounded to the nearest whole number).
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12) From 40 m away, elevation to a tree is 30°. From 20 m away, it is 49°. Find the height (rounded to the nearest whole number).
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13) From 100 m away, elevation to a building is 25°. From 50 m away, it is 43°. Find the height (rounded to the nearest whole number).
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14) From 200 m away, elevation to a mountain top is 12°. From 100 m away, it is 23°. Find the height (rounded to the nearest whole number).
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15) From 80 m away, elevation to a pole is 28°. From 40 m away, it is 48°. Find the height (rounded to the nearest whole number).
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16) From 300 m away, elevation to a tower is 10°. From 150 m away, it is 19°. Find the tower's height (rounded to the nearest whole number).
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17) From 120 m away, elevation to a hill is 18°. From 60 m away, it is 33°. Find the hill's height (rounded to the nearest whole number).
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18) From 250 m away, elevation to a cliff is 14°. From 125 m away, it is 27°. Find the height (rounded to the nearest whole number).
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19) From 90 m away, elevation to a tower is 22°. From 45 m away, it is 41°. Find the height (rounded to the nearest whole number).
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20) From 180 m away, elevation to a building is 20°. From 90 m away, it is 36°. Find the height (rounded to the nearest whole number).
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From a point 80 m away from a tower, the angle of elevation is...
From a point 100 m away from a building, the angle of elevation is...
From 120 m away from a pole, the elevation angle is 20°. From 60 m...
From 150 m away, the elevation to a tower is 28°. From 50 m away, the...
A person observes a building 90 m away at 22°. From 45 m away, the...
From 200 m away, elevation to a hilltop is 15°. From 100 m away, it...
From 50 m away, elevation to a statue is 35°. From 25 m away, the...
From 180 m away, elevation to a cliff top is 20°. From 90 m away, it...
From 70 m away, elevation to a pole is 25°. From 35 m away, it is...
From 60 m away, elevation to a tower is 30°. From 30 m away, it is...
From 160 m away, elevation to a building is 20°. From 80 m away, it...
From 40 m away, elevation to a tree is 30°. From 20 m away, it is...
From 100 m away, elevation to a building is 25°. From 50 m away, it...
From 200 m away, elevation to a mountain top is 12°. From 100 m away,...
From 80 m away, elevation to a pole is 28°. From 40 m away, it is...
From 300 m away, elevation to a tower is 10°. From 150 m away, it is...
From 120 m away, elevation to a hill is 18°. From 60 m away, it is...
From 250 m away, elevation to a cliff is 14°. From 125 m away, it is...
From 90 m away, elevation to a tower is 22°. From 45 m away, it is...
From 180 m away, elevation to a building is 20°. From 90 m away, it...
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