Is that all the information? it could literally be any number with only that.
Answer:
cos q = 3/5
Step-by-step explanation:
Standard position means the vertex (point or corner of the angle) is at (0,0) and one side of the angle is glued to the positive x-axis (facts, but not technical math terms) See image. Special triangles have all three sides nice and clean with whole number lengths, we call these Pythagorean triples. 3-4-5 is your most basic Pythagorean triple. So we don't even have to calculate the hypotenuse, see image. Now the triangle shown is easy to work with, using entry-level trig...cos = ADJ/HYP. So we get 3/5=.6 BUUuuuut, the angle q in the original problem is actually the giant angle, marked in yellow (see image) and we're in the fourth quadrant which means there's negative numbers all over the place. So just to be sure the answer is .6 and not -.6 Check your signs. One trick to remember is the ASTC markings in the quadrants. I use All Students Take Calculus, but what it means is in the first quadrant All the trig functions are positive. Only Sine (and fam) are positive in the 2nd quadrant. Tan (and fam) in the 3rd and Cos and fam in the 4th quadrant. It's a good quick check.
cos q = 3/5 OR cos q = .6
Answer:
A. The difference in height between the pelican and the heron is -33 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.
Step-by-step explanation:
<h3>
The missing statements are:</h3><h3>
A. The difference in height between the pelican and the heron is -33 feet</h3><h3>
B. The difference in height between the pelican and the heron is 33 feet</h3><h3>
C. The distance between the heights of the pelican and heron is -33 feet</h3><h3>
D. The difference in height between the pelican and the trout is -40 feet</h3><h3>
E. The difference in height between the pelican and the trout is 40 feet</h3><h3>
F. The distance between the heights of the pelican and the trout is 40 feet.</h3><h3 />
Let be 0 the sea level.
Since the heron is perched in a tree 50 feet above sea level and directly below the heron the pelican is flying 17 feet above sea level, you can find the difference in height between the pelican and the heron by subtracting 50 feet from 17 feet.
Then, you get that this is:

Now, according the the information given in the exercise, you know that the trough is swimming directly below them and its height is 23 feet below sea level. If you represent this with an integer, this is:
Therefore you can find the difference in height between the pelican and the trout through the following subtraction:
And the distance between them is 40 feet too.