G. 3/8
H. 3/5
J. 5/8
K. 7/8
The length of the guy wire is 273.5 feet.
Trigonometric ratio show the relationship between the sides and angles of a right angled triangle.
Let d represent the length of the guy wire.
Using trigonometric ratios:
The length of the guy wire is 273.5 feet.
Find out more at: brainly.com/question/25122825
==========================================
Explanation:
See the attached image below. The information that the tower is 500 ft is never used. Focus solely on triangle ABD (ignore point C).
AB = 200
AD = x = unknown
angle ABD = angle B = 47 degrees
Use the cosine rule to help find x
---------
cos(angle) = adjacent/hypotenuse
cos(B) = AB/BD
cos(47) = 200/x
x*cos(47) = 200
x = 200/cos(47)
x = 293.255837127926
Rounding to the nearest foot, we get 293 feet as the answer.
why?