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Grade 12

Further trigonometric problems in 3D

Interactive practice questions

A wooden plank of the greatest possible length is placed in a garden shed. Use the diagram to calculate the length of the plank of wood correct to one decimal place.

Easy
2min

Point $A$A is on a bearing of $15^\circ$15° from the base of a $80$80 m high tower with an angle of elevation of $22^\circ$22°. Point $B$B is on a bearing of $28^\circ$28° from the base of the tower with an angle of elevation of $8^\circ$8°.

Easy
10min

A pyramid has a square base with side length $14$14 m and a vertical height of $24$24 m.

Easy
8min

A tree stands at the corner of a square playing field. Each side of the square is $130$130 m long. At the centre of the field the tree subtends an angle of $22^\circ$22°.

Easy
10min
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Outcomes

12CT.C.1.5

Solve problems involving oblique triangles, including those that arise from real-world applications, using the sine law (including the ambiguous case) and the cosine law

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