Mathematics 10 — Exercise 7.3 · Q1 (iii)

Full question

A triangular prism has FE = 5 cm, EC = 4 cm and BC = 3 cm. Find angle BEC, correct to one decimal place.

Step-by-step solution

1. In right triangle BCE, angle BEC has opposite side BC=3 and adjacent side EC=4.

   $$\tan \left(\mathrm{BEC°}\right)=\frac{3}{4}$$

2. Take inverse tangent in degree mode: arctan(0.75).

   $$36.869898$$

3. Round to one decimal place.

Answer

The final answer is shown below.