Question

A wire is attached to a 425-foot tower that is perpendicular to the ground. The wire makes an angle of 26.5o to the ground. what is the length of the wire in feet

Answer 1

952.49feet

Explanation:

This set up will be a right angled triangle

Height = opposite side = 425foot

Length of wire = hypotenuse= x

Angle of elevation= 26.5°

Using the SOH identity

Sin 26.5 = opp/hyp

Sin26.5 = 425/x

x = 425/sin26.5

x =425/0.4462

x = 952.49feet

Hence the length of the wire is 952.49feet