given the information in the picture which trigonomic identity can be used to solve for the height of the blue ladder that is leaning against the building

Answer:
cosine rule - cos = [tex]\frac{a}{h}[/tex]
Step-by-step explanation:
Here the ladder is acting as hypotenuse and base as adjacent.
Formula: cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex]
And we know
[tex]\\ \tt\hookrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \tt\hookrightarrow tan47=\dfrac{P}{30}[/tex]