Question

Which of these is the closest to DC, the height in feet,on the pole where the lower wire is attached ?

Answer 1

Answer:

21.40 ft

Step-by-step explanation:

Angle BD is bisecting of ∠B, so we have to find ∠ B first. We have opposite(AC) and adjacent(BC) length, to find ∠B we can use tan formula.

tan ∠B= AC/BC

∠B= arctan(60ft/40ft)

∠B= 56.31 °

The ∠CBD bisect ∠B, so it equal to half of the angle. Angle CBD will be:

∠CBD= ∠B/2= 56.31 /2

∠CBD= 28.15 °

We have the angle(CBD) and adjacent(BC) length, now we can find DC using tan formula.

tan ∠CBD= DC/BC

DC= tan 28.15° * 40ft

DC= 0.53507226 * 40ft

DC= 21.40 ft