Unit 3: Geometry and Trigonometry
Topic 3.3: Applications of Trigonometry Questions
Practice 20 exam-style questions for IB Math AA SL Topic 3.3. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
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A ramp rises 2 m over a horizontal distance of 9 m. Find the angle of elevation of the ramp, to 3 s.f.
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Write down the three-figure bearing of due West.
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Standing 45 m from the base of a radio tower on flat ground, an observer measures the angle of elevation of its top as 31°. Calculate the tower's height, to 3 s.f.
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A tree of height metres stands on level ground. From a point metres from its base, the top of the tree is seen at an angle of elevation of . Write as a fraction involving and .
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The bearing of B from A is 215°. Find the bearing of A from B.
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A drone hovers above level ground. The angle of depression from the drone to a marker on the ground is 34°. State the angle of elevation from the marker to the drone.
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The bearing of Q from P is . Find the bearing of P from Q.
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The bearing of Q from P is 115°. Find the bearing of P from Q.
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The bearing of B from A is . Find the bearing of A from B.
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Point is east and south of point . Find the bearing of from .
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From a point 60 m from the foot of a building, the angle of elevation to the top is 38°. Find the height of the building, to 3 s.f.
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From the top of a 25 m lighthouse, the angle of depression to a boat is . Find the horizontal distance from the boat to the base of the lighthouse, to 3 s.f.
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Express the compass direction as a three-figure bearing.
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From a point 60 m from the foot of a building, the angle of elevation to the top is . Find the height of the building, to 3 s.f.
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From a window 1.5 m above the ground, the angle of elevation to the top of a flagpole 20 m away is . Find the total height of the flagpole, to 3 s.f.
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From a window 1.5 m above the ground, the angle of elevation to the top of a flagpole 20 m away is 28°. Find the total height of the flagpole, to 3 s.f.
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A kite string of length 40 m makes an angle of elevation of with the ground (string taut and straight). Find the height of the kite above the ground, to 3 s.f.
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Express the compass direction N60°W as a three-figure bearing.
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2025
On a flat map, city is east and north of city . Find the bearing of from .
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From the top of a 70 m cliff, the angle of depression of a buoy at sea is 22°. Find the horizontal distance of the buoy from the foot of the cliff, to 3 s.f.
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