The trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is $\rm sin=\dfrac{o}{h}$ .

We have to determine

Which trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building?.

<h3>Trigonometric identity</h3>

Trigonometric Identities are the equalities that involve trigonometry functions and hold true for all the values of variables given in the equation.

Trig ratios help us calculate side lengths and interior angles of right triangles:

The trigonometric identity that can be used to solve for the height of the blue ladder is;

$\rm Sin47=\dfrac{50}{H}\\\\H=\dfrac{50}{sin47}\\\\H=68 feet$

Hence, the trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is $\rm sin=\dfrac{o}{h}$ .

To know more about trigonometric identity click the link given below.

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