Answer: exact form: 251/56, decimal form 4.482, mixed number form 4 27/56
The angle of elevation from the hiker to the park ranger is the same as the angle of depression from the ranger to the hiker, 29°.
The tangent function of an angle is the ratio of the opposite side (500') to the adjacent side (x) in the right triangle shown. That is
tan(29°) = 500' / x
Multiplying the equation by x/tan(29°) gives
x = 500' / tan(29°)
x ≈ 500' / 0.5543
x ≈ 902 ft
I am so sorry for giving you the wrong answer at first.
Here's the processs
1x=-0.5555
Move the decimal point in the repeating decimal one space forward
10x=-5.55555
Then subtract
10x=5.5555
x=-0.5555= 9x=-5
Divide both sides by 9
9x=-5
9x/9=-5/9
-5/9 is your final answer!
Hope this helps!
Answer: 0.838 is the answer to this problem
Because 1.000 - .162= 0.838
