The angle off of the vertical to the nearest hundredth is 25.84°
Explanation:length of the ladder = 30 ft
height of the building at the point ladder touches the building = 27 ft
To get the angle, we will do an illustration of the given information
From the diagram:
The side opposite the angle = opposite
adjacent = 27 ft
hypotenuse = 30 ft
To get the value of the angle, we will apply cosine ratio (CAH)
[tex]\begin{gathered} cos\text{ \theta= }\frac{opposite}{hypotenuse} \\ \\ cos\text{ \theta= }\frac{27}{30} \end{gathered}[/tex][tex]\begin{gathered} cos\text{ }θ\text{ = 0.9} \\ arc\text{ cos \lparen0.9\rparen = \theta} \\ θ\text{ = 25.84\degree} \end{gathered}[/tex]The angle off of the vertical to the nearest hundredth is 25.84°
