Answer:
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Step-by-step explanation:
Answer:
The answer in the book says it's y = -3/5x - 17/5
Step-by-step explanation:
To find CD use the trig ratio that relates that side you're looking for to the angle you have and the other side you're given. We have that the reference angle is 30, and we also have the hypotenuse of that right triangle on the left. Solving for AC, which is the side opposite, we will use the sin ratio:
![sin(30)= \frac{AC}{10}](https://tex.z-dn.net/?f=sin%2830%29%3D%20%5Cfrac%7BAC%7D%7B10%7D%20)
. 10 sin(30) = AC. Therefore, AC = 5. Now that have that side measure, we can use that along with the reference angle in the right triangle on the right of 25 to find CD, which happens to be the side adjacent to the reference angle. That satisfies our tangent ratio requirements. Our ratio looks like this then:
![tan(25)= \frac{5}{CD}](https://tex.z-dn.net/?f=tan%2825%29%3D%20%5Cfrac%7B5%7D%7BCD%7D%20)
. Solving for CD,
![CD= \frac{5}{tan(25)}](https://tex.z-dn.net/?f=CD%3D%20%5Cfrac%7B5%7D%7Btan%2825%29%7D%20)
and CD = 10.7, the third choice above.
Answer:
101.98 yards.
Step-by-step explanation:
Please refer to the diagram that I drew (sorry for the messiness; I do not own a stylus and so I was using my mouse to try to draw it).
Since the triangle is a right triangle, you can use SOH CAH TOA. In this case, you are trying to figure out the opposite length, but you are given the adjacent. So, we will use tangent to solve this (TOA = Tangent, Opposite over Adjacent).
The angle is 22.6 degrees, and the tangent of the angle is equivalent to the opposite length, x, divided by the adjacent length, 245 yards.
tan(22.6) = x / 245
x / 245 = tan(22.6)
x = tan(22.6) * 245
x = 0.4162598242 * 245
x = 101.9836569
So, you are about 101.98 yards from the cabin.
Hope this helps!