In the figure below, solve for the value of d. d = ______ in. (round to the nearest tenth and do NOT include units in your answer)
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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