Question

8. A dog chasing some birds in the woods got away from its owner. If the owner is 30 yards

lower than the dog and the angle of elevation from the owner to the dog is 10°, find the
distance from the owner to the dog.

Answer 1

172.76 yards.

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
`\sin 10 =(30)/(x)`

⇒
`x = (30)/(\sin10) = 172.76` yards. (Answer)