Answer:
Step-by-step explanation:
The diagram showing the pictorial view is attached below.
From the image, the distance of the hiker traveled which is denoted by "h" can be determined as follows:
h = 2.8 mi/hr × 4 hr
h = 11.2 mi
Using the trigonometric function;
The distance of how far North is the hike from the ranger station can be determined by using the function of Sin θ
[tex]Sin \theta = \dfrac{opposite}{hypotenuse}[/tex]
[tex]Sin(41^0) = \dfrac{x}{11.2}[/tex]
x = Sin 41 (11.2)
x = 0.6561(11.2)
x = 7.34832
x ≅ 7.35 miles
The distance of how far west the hike from the ranger station is calculated by using:
[tex]cos \theta = \dfrac{adjacent}{hypotenuse}[/tex]
[tex]cos (41^0)= \dfrac{y}{11.2}[/tex]
y = 0.7547 × (11.2)
y = 8.45 miles
