Wall and ladder

A ladder leans against a wall, reaching a height of 6.5 m. How long is the ladder if it makes an angle of 60° with the horizontal floor?

Final Answer:

c =  7.51 m

Step-by-step explanation:

$$\begin{gathered} a=6.5\text{m} \\ \alpha =60{}^{\circ } \\ \sin \alpha =a:c \\ c=\frac{a}{\sin (\alpha )}=\frac{6.5}{\sin (60°)}=7.51\text{m} \end{gathered}$$

Try another example