Trigonometric Ratios in 3D: Determining the Inclination of Line \(AF\)

Trigonometric Ratios in 3D: Determining the Inclination of Line \(AF\)

Secondary 3

The diagram shows a prism whose cross-section area is a right-angled triangle.

\(AB=24\) cm, \(BC=8\) cm and \(FC=6\) cm.

Calculate

  1. the length of \(FB\),
  2. the area of \(\Delta AFB\),
  3. the \(\angle FAE\).

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Answer:(i) \(10\text{ cm}\) (ii) \(120\text{ cm}^2\) (iii) \(67.4^\circ\)

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