Answer:
24.4 feet
Explanation:
Let x be the length of the wooden board as shown in the diagram.
Using trigonometry ratio, we can write
[tex] \cos(35)=\frac{20}{x}[/tex]
[tex] \implies0.819= \frac{20}{x} [/tex]
cross multiplying we get:
[tex]0.819 \times x = 20[/tex]
Diving through by 0.819, we obtain
[tex]x = 24.42[/tex]
To the nearest tenth, x=24.4 feet.
