Aclothes line is connected from a window on one building to a window in a building across the alley. the clothesline is 10 yards long with an angle of depression of 17°. how far apart are the buildings?

The distance between the two buildings is 9.563 yards.

Step-by-step explanation:

See the diagram attached.

AB and CD are two buildings AC distance apart.

Now, AC = ED.

The angle of depression of clothesline BD is 17 Degrees.

Now, given that  BD = 10 yards.

And ∠ OBD = ∠ BDE = 17°  {Alternate angles}

Now, from the right triangle Δ BED, we have  

⇒ ED = 10 cos 17 = 9.563 yards.

Therefore, the distance between the two buildings is 9.563 yards. (Answer)

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.