Using Pythagorean theorem, we can find that DG is 10.(I don't think I need to explain this)
Now cosD means the adjacent side over the hypotenuse.
The side adjacent to <D is 6 and the hypotenuse is 10 so
cosD=6/10=3/5
Which means the correct answer is choice D.
Hope this helped!
All linear equations produce straight lines when graphed, however not all linear functions produce straight line when graphed.
Hope it helps!
Step-by-step explanation:
law of sine :
a/sinA = b/sinB = c/sinC
with the sides and correlating angles being always opposite to each other.
we are dealing with a right-angled triangle here.
the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.
the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.
the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.
so, we have
1600/sin(90) = elevation difference / sin(1.6)
sin(90) = 1
1600 = elevation difference / sin(1.6)
elevation difference = 1600 × sin(1.6) =
= 1600 × 0.027921639... =
= 44.67462196... ft
≈ 44.7 ft
There is only one number that is equal to the absolute value of 15.
That number is 15.
But wait !
There are two different numbers WHOSE ABSOLUTE VALUES
are both 15.
Those numbers are 15 and -15 .
