x = 54 ft
d = 46.8 ft
Step-by-step explanation:
Let x be the length of the guy wire. Using the definition of cosine,
cos 60 = 27/x ----> x = (27 ft)/cos 60 = 54 ft
To find the distance d, we use either the sine or tangent of 60°. Let's use the sine:
sin 60 = opp/hyp = d/(54 ft)
or d = (54 ft)sin60°
= 46.8 ft
