Complete question :
A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.
What is the length x of a diagonal support, to the nearest tenth of a foot?
Answer:
13.80 feets
Step-by-step explanation:
Taking either of the triangles formed and attached to the picture, the length of diagonal, x can be obtained using Pythagoras rule :
To obtain x :
Sinθ = opposite / hypotenus
Opposite = 12.5 feets ; hypotenus = x ; θ = 65°
Sin 65 = 12.5 / x
0.9063077 * x = 12.5
x = 12.5 / 0.9063077
x = 13.792225
x = 13.80 feets
