You are hiking and are trying to determine how far away the nearest cabin is, which happens to be due north from your current position. Your friend walks 245 yards due west from your position and takes a bearing on the cabin of N 22.6° e. How far are you from the cabin?

589 yards

Step-by-step explanation:

This is a question that requires the use of trigonometric functions.

The trigonometric function to be used here is the tangent function.

tan θ = Opposite side/ Adjacent side

In the question, we are told

Your friend walks 245 yards due west from your position = Opposite side

Your friend's takes a bearing on the cabin of N 22.6° = θ

Your distance from the cabin = Adjacent side

Hence,

tan 22.6 ° = 245/ Adjacent side

Cross Multiply

Adjacent side = 245/ tan 22.6°

Adjacent side = 588.57469726 yards.

Therefore, your distance from the cabin approximately to the nearest yard(whole number) = 589 yards

marco saved more.   he saved $35 more.

step-by-step explanation:

1+2+3+4+5+6+7+8+9+10 = 55

2*10 = 20

55-20 = 35

y = 0.77(x)

step-by-step explanation:

the jacket retains this value after 23% cut or retains 77% of original value. plug original 87 jacket price for x and the remaining value should be y.