Word problems relating ladder in trigonometry

Word problems relating ladder in trigonometry

Basic concepts: Use sine ratio to calculate angles and side (Sin = oh \frac{o}{h} ), Use cosine ratio to calculate angles and side (Cos = ah \frac{a}{h} ), Use tangent ratio to calculate angles and side (Tan = oa \frac{o}{a} ), Combination of SohCahToa questions,
Related concepts: Ferris wheel trig problems, Tides and water depth trig problems, Spring (simple harmonic motion) trig problems,

Lessons

  • 1.
    A ladder is leaning against an outside wall of a building. If the angle of elevation at the base of the ladder to the wall is 65∘ 65^\circ and the ladder is 14 feet long, how far up the wall does the ladder reach?
  • 2.
    A 23 foot long piece of wood is leaning against the wall of a house. If the angle of elevation at the base of the wood to the wall is 75∘ 75^\circ , how far is the wood from the base of the wall?
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31.
Trigonometry
31.1
Use sine ratio to calculate angles and side (Sin = oh \frac{o}{h} )
31.2
Use cosine ratio to calculate angles and side (Cos = ah \frac{a}{h} )
31.3
Use tangent ratio to calculate angles and side (Tan = oa \frac{o}{a} )
31.4
Combination of SohCahToa questions
31.5
Solving expressions using 45-45-90 special right triangles
31.6
Solving expressions using 30-60-90 special right triangles
31.7
Word problems relating ladder in trigonometry
31.8
Word problems relating guy wire in trigonometry
31.9
Other word problems relating angles in trigonometry
GCSE Maths
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