Respuesta :

Answer:

7.7

Step-by-step explanation:

For the 57° angle, d is the opposite leg, and 5 in. is the adjacent leg. The trig ratio that relates the opposite and adjacent legs is the tangent.

[tex] \tan 57^\circ = \dfrac{d}{5~in.} [/tex]

[tex] d = 5~in. \times \tan 57^\circ [/tex]

[tex] d = 7.7~in. [/tex]

Answer: 7.7