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

7.7

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 = (d)/(5~in.)`

`d = 5~in. * \tan 57^\circ`

`d = 7.7~in.`

Answer: 7.7