Answer:
x =5.1
Step-by-step explanation:
For the angle 82, we know the adjacent side and the opposite side
tan 82 = opposite/ adjacent
tan 82 = 36/x
Multiply by x on each side
x tan 82 = 36/x*x
x tan 82 =36
Divide by tan 82
x tan 82/ tan 82 = 36 / tan 82
x = 36/ tan 82
x=5.059470049
To the nearest tenth
x =5.1
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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!