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IB Mathematics: Applications and Interpretation SL · 12.10: Geometry & Trigonometry · 12.10.7
Name Date
Angles of elevation and depression Problem set B
Draw a diagram first and mark the horizontal. Give answers to 3 significant figures.
Each question matches the question with the same number in set A. Do the ones you got wrong there.
Difficulty: first skills applying them stretch
Skills
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A radio mast is seen from a point 26 m from its foot. The angle of elevation of the top of the mast is 36°, and the observer's eyes are 1.6 m above the ground. Find the height of the mast.
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From a bridge 30 m above a river, the angle of depression of a canoe is 17°. Find the horizontal distance of the canoe from the point on the water below the bridge.
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From a point A the angle of elevation of the top of a chimney is 36°. From a point 30 m further from the chimney, on the same level and in line with it, the angle of elevation is 22°. The observer's eyes are 1.6 m above the ground. Find the height of the chimney.
In context
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The angle of elevation of the top of a wind turbine from a point A is 44°. Mia cycles 80 m directly away from the turbine to a point B, where the angle of elevation is 29°. Her eyes are 1.4 m above the ground. Find the height of the top of the turbine.
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From a lookout tower the angle of depression of a ship is 18°. The ship sails 250 m directly towards the tower and the angle of depression is then 33°. Find the height of the lookout above the sea.
Stretch
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The top of a pylon is 18 m above an observer's eye level. The angle of elevation of the top is 35° from one point. The observer walks directly away from the pylon, and the angle of elevation of the top is then 20°. How far does the observer walk?
jmaths.xyz · AI SL · 12.10.7 Angles of elevation and depression