Mathematics 10 — Exercise Review · Q5 (ii)

Full question

In the triangular prism shown, AB = 8 cm, BF = 14 cm and EF = 19 cm. Find the angle between AF and the plane BCEF.

Step-by-step solution

1. The projection of AF onto plane BCEF is BF=14; height AB=8.

2. Use tanθ=8/14=4/7.

   $$\frac{8}{14}$$

3. Take inverse tangent.

   $$29.744881$$

Answer

The final answer is shown below.