Word problems relating guy wire in trigonometry

Word problems relating guy wire 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.
    Determine the length of the longest guy wire if the tower in the middle of the bridge is 45 yards high and the angle of elevation from where the guy wire is anchored to the top of the tower is 40∘. 40^\circ.
  • 2.
    If the length of the guy wire is 40 metres and the angle of elevation from where the guy wire is anchored is 35∘35^\circ , how far from the base of the pole is the guy wired anchored?
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10.
Trigonometry
10.1
Converting between degrees and radians
10.2
Radian measure and arc length
10.3
Angle in standard position
10.4
Coterminal angles
10.5
Reference angle
10.6
Find the exact value of trigonometric ratios
10.7
ASTC rule in trigonometry (All Students Take Calculus)
10.8
Unit circle
10.9
Trigonometric ratios for angles in radians
10.10
Solving first degree trigonometric equations
10.11
Determining non-permissible values for trig expressions
10.12
Use sine ratio to calculate angles and side (Sin = oh \frac{o}{h} )
10.13
Use cosine ratio to calculate angles and side (Cos = ah \frac{a}{h} )
10.14
Use tangent ratio to calculate angles and side (Tan = oa \frac{o}{a} )
10.15
Combination of SohCahToa questions
10.16
Law of sines
10.17
Law of cosines
10.18
Sine graph: y = sin x
10.19
Cosine graph: y = cos x
10.20
Tangent graph: y = tan x
10.21
Cotangent graph: y = cot x
10.22
Secant graph: y = sec x
10.23
Cosecant graph: y = csc x
10.24
Graphing transformations of trigonometric functions
10.25
Determining trigonometric functions given their graphs
10.26
Quotient identities and reciprocal identities
10.27
Pythagorean identities
10.28
Sum and difference identities
10.29
Double-angle identities
10.30
Word problems relating ladder in trigonometry
10.31
Word problems relating guy wire in trigonometry
10.32
Other word problems relating angles in trigonometry
Precalculus
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