teeteeduncan200521 teeteeduncan200521
  • 12-04-2021
  • Mathematics
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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)

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 class=

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mathstudent55
mathstudent55 mathstudent55
  • 12-04-2021

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

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