Answer:
172.76 yards.
Step-by-step explanation:
The dog chasing some birds got away from its owner by x yards (say).
It is clear from the problem that this x yards is the slant distance from the dog to the owner.
The vertical distance from the dog to the owner is given to be 30 yards, and the angle of elevation from the owner to the dog is 10°.
Therefore, we can write that [tex]\sin 10 =\frac{30}{x}[/tex]
⇒ [tex]x = \frac{30}{\sin10} = 172.76[/tex] yards. (Answer)
