Answer: I have wrote the directions for 3 of the problems, all of them using one of the 3 different trigonometric strategies. Using these you can find out the other problems.
Step-by-step explanation:
To find the values of sin, cos, and tan, use a calculator. Type the number, then the trigonometric strategy you're using (cos, sin, tan), most calculators built on computers have this function and phones do too if you rotate it to the side.
7. Sin(38 degrees) = h/15
To do this, we use Sin, which is the opposite side over the hypotenuse.
We use the angle given, (38 degrees), the opposite side, (h) and finally the hypotenuse(15.)
sin 38 = h/15
h = sin 38 * 15
h ≈ 9.3
9. I'll skip to 9 so you can figure out how to use another trigonometric strategy. Number eight is the same is number 7.
Cos(49 degrees) = x/23
Cosine is the adjacent side (the side right next to it) over the hypotenuse.
So in this case, the side next to the only angle given (49 degrees) is x. A common method in these kinds of problems is always to get the value that is x over a side that is given.
So you would use Cos(49) = x/23.
Like the last problem, you do:
x = Cos 49 * 23
x ≈ 15.1
11. I am now skipping to 11 so you can learn the last one, tan.
Tan is opposite/adjacent. In this problem, the angle 15 degrees is given already, and the opposite side form that is y.
In this problem, the side given (the adjacent) is 38.
So, it would be ordered like
tan(15 degrees) = y/38
y = tan 15 * 38
y ≈ 10.2
