Angles of Elevation/Depression (Leaving Cert Mathematics): Flashcards

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Angles of Elevation/Depression
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Angle of elevation definition

Angle formed from horizontal looking upward to object

Angle of depression definition

Angle formed from horizontal looking downward to object

Trig ratios for elevation/depression

sin⁡\sin, cos⁡\cos, tan⁡\tan

tan⁡θ\tan \theta in right triangles

tan⁡θ=oppositeadjacent\tan \theta = \frac{\text{opposite}}{\text{adjacent}}

Baseline for measuring these angles

Horizontal line

Calculator mode needed

Correct mode (degrees or radians)

50m from tower, 30∘30^\circ up: height?

50×tan⁡30∘=28.8550 \times \tan 30^\circ = 28.85 m

40m cliff, 45∘45^\circ down: distance?

40÷tan⁡45∘=4040 \div \tan 45^\circ = 40 m

Role of diagrams in these problems

Draw accurately to visualize the problem

Measured looking up from horizontal

Angle of elevation

Measured looking down from horizontal

Angle of depression

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