Answer:
4.4 ft
Step-by-step explanation:
The model is a right triangle with the side opposite 35° being 2.5 ft and the hypotenuse being the length of board required.
let the length of board be x , then
sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2.5}{x}[/tex]
cross- multiplying gives
x × sin35° = 2.5 ( divide both sides by sin35° )
x = [tex]\frac{2.5}{sin35}[/tex] ≈ 4.4 ft ( nearest tenth )
