3D Trigonometry: Solving Angles of Elevation in a Non-Right Triangular Field
3D Trigonometry: Solving Angles of Elevation in a Non-Right Triangular Field
Secondary 3
The diagram above shows a triangular field \(ABC\). \(AB=45\) m, \(BC=28\) m and angle \(ABC\) is a right angle.
Calculate
- angle \(BAC\),
- length \(AC\).
A pole \(AD\) is planted perpendicular to the ground such that the angle of elevation of \(D\) from \(B\) is \(40{}^\circ\).
Calculate
- the height of the pole,
- the angle of elevation of \(D\) from \(C\),
- the area of triangle \(BDC\).
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Answer:(i) \(\angle BAC=31.9^\circ\) (ii) \(AC=53\text{ m}\) (iii) \(AD=37.8\text{ m}\) (iv) \(\angle ACD=35.5^\circ\) (v) \(822\text{ m}^2\)
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