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A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.

Select all the statements that are true:
A. The difference in height between the pelican and the heron is -33 feet
B. The difference in height between the pelican and the heron is 33 feet
C. The distance between the heights of the pelican and heron is -33 feet
D. The difference in height between the pelican and the trout is -40 feet
E. The difference in height between the pelican and the trout is 40 feet
F. The distance between the heights of the pelican and the trout is 40 feet.

1 Answer

3 votes

Answer:

Only A, E, and F are correct.

Explanation:

The difference between two points is
P_1-P_2, thus the difference between the height of the Pelican and the height of the Heron is
P_p-P_h = 17ft-50ft=-33ft, and between the Pelican and the trout it is
P_p-P_t=17ft-(-23ft)=40ft.

The distance between two points is just the absolute value of the difference between them. Between the Pelican and the Heron it is
|P_p-p_h|= 33ft, and the distance between the Pelican and the Trout is
|P_p-P_t|=40ft.

Therefore,

A is correct;

B is incorrect (difference is not positive);

C is incorrect (distance cannot be negative);

D is incorrect (difference is not positive);

E is correct;

F is correct;

User Mike Hardy
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