Question

After a storm, two street lights with the same length are leaning against each

other. The bases of the poles are 45 feet apart. The angles that the poles make
with the ground are 50 degrees and 60 degrees. Using the diagram shown find c.

Answer 1

c = 4.79 feet

Explanation:

Given question is incomplete without a picture; find the question with the attachment.

Two poles AD and DB of same length are leaning against each other.

Distance between the poles (AB) = 45 feet

m(∠ADB) = 180°- (60 + 50)°

= 70°

By sine rule,

`(sin50)/(AD)=(sin70)/(45)=(sin60)/(DB)`

`AD=(45* (sin50))/(sin70)`

= 36.68 ft

Similarly,

DB =
`(45* sin60)/(sin70)`

= 41.47 ft

Now c = DB - AD

= 41.47 - 36.68

= 4.79 feet