Q:

A 70-foot wire attached to the top of a building is anchored to the ground 20 feet from the base of the building. Which value is the closest to the angle, in radians, that the wire makes with the ground? Help asap

Accepted Solution

A:
Answer:The the angle which the wire make with the ground is 1.280 radian .Step-by-step explanation:Given as :The length of the wire attached to the top of building = OB = 70 footThe distance of wire anchored from base of ground = OA = 20 feetLet the angle made by wire en and ground = ФNow from ,  In Triangle AOBCos angle = [tex]\dfrac{\textrm Base}{\textrm Hypotenuse}[/tex]Or, Cos Ф =  [tex]\dfrac{\textrm OA}{\textrm OB}[/tex]or, Cos Ф =  [tex]\dfrac{\textrm 20}{\textrm 70}[/tex]Or, Cos Ф =  [tex]\dfrac{\textrm 2}{\textrm 7}[/tex]∴  Ф = [tex]Cos^{-1}(\frac{2}{7})[/tex]I.e Ф = 73.39°Now in radian , ∵ 180° = [tex]\pi[/tex] radian∴ 73.39° = [tex]\frac{\pi }{180}[/tex] × 73.39°              =  [tex]\frac{3.14 }{180}[/tex] × 73.39° = 1.280 radianHence The the angle which the wire make with the ground is 1.280 radian . Answer