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.

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

⇒ yards. (Answer)

32

step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.