Question

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)

Answer 1

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.

$\tan 57^\circ = \dfrac{d}{5~in.}$

$d = 5~in. \times \tan 57^\circ$

$d = 7.7~in.$

Answer: 7.7