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

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Angles of Elevation/Depression
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What is an angle of elevation?

Angle looking up from horizontal

What is an angle of depression?

Angle looking down from horizontal

Which scenario represents an angle of elevation?

Viewing top of building from ground

Which scenario represents an angle of depression?

Looking at boat from top of cliff

Which formula is used for calculating heights or distances?

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

What does the horizontal line act as when measuring these angles?

The baseline for measurement

What must you ensure about your calculator when solving these problems?

It is in correct mode (degrees/radians)

An observer 5050m from a tower sees the top at 30∘30^\circ elevation. What is the height?

28.8528.85m

From a 4040m cliff, a boat is seen at 45∘45^\circ depression. How far is the boat from the base?

4040m

Which trigonometric ratios are used to solve these problems?

sin⁡\sin, cos⁡\cos, and tan⁡\tan

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