Mirror

The dimensions of a mirror are 750 mm × 700 mm, and the mirror is to be tilted 8° away from the wall. How many centimetres must the bottom of the mirror protrude from the wall?

Final Answer:

x =  9.7421 cm

Step-by-step explanation:

$$\begin{gathered} a=750\text{mm}\to \text{cm}=750:10\text{cm}=75\text{cm} \\ b=700\text{mm}\to \text{cm}=700:10\text{cm}=70\text{cm} \\ \alpha =8{}^{\circ } \\ x=b\cdot \sin \alpha =b\cdot \sin 8°=70\cdot \sin 8°=70\cdot 0.139173=9.742=9.7421\text{cm} \end{gathered}$$

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