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
Answer:
The point of intersection is at (2,3)
Step-by-step explanation:
1\5 pound of trail mix because 1 pound divided to\by 5 people is 1\5.
So, each person gets 1\5 pound trail mix