Answer:
Length of the rope = 15.6 ft.
Step-by-step explanation:
Given:
Height of the pole from the ground = 12 ft
Adjacent distance from the pole = 10 ft
We have to find the length of the rope attached by Scott to secure the pole.
According to the question :
In forma right angled triangle as shown in the figure.
We have to find the measure of the hypotenuse.
Length of rope = Hypotenuse measure
Let the length of the rope = "h" ft
Using Pythagoras formula.
⇒ [tex](hypotenuse)=\sqrt{opposite^2+ adjacent^2}[/tex]
⇒ Plugging the values.
⇒ [tex]h=\sqrt{12^2 + 10^2}[/tex]
⇒ [tex]h=\sqrt{144 + 100}[/tex]
⇒ [tex]h=\sqrt{244}[/tex]
⇒ [tex]h=15.62[/tex] ft
The length of the rope, rounded to the nearest tenth is 15.6 ft.
