The ladder

The ladder touch on a wall at a height of 7.5 m. The angle of the inclination of the ladder is 76°. How far is the lower end of the ladder from the wall?

Correct answer:

b =  2.0096 m

Step-by-step explanation:

$$\begin{gathered} a=7.5\text{ m } \\ A=75^{\circ } \\ \tan A={\displaystyle \frac{a}{b}} \\ b={\displaystyle \frac{a}{\tan A^{\circ }}}={\displaystyle \frac{a}{\tan 75^{\circ }}}={\displaystyle \frac{7.5}{\tan 75^{\circ }}}={\displaystyle \frac{7.5}{3.732051}}=2.01=2.0096\text{ m} \end{gathered}$$

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