You can draw a right triangle with the informatio.
The vertical change in elevation (unknown) is the opposed leg to the angle 15°
The distance from the surveyor to the point vertically below the point on the mountain is the adjacent leg = 6 miles.
Then tan(15°) = x / 6 => x = 6tan(15) = 1.61 miles
Answer: 1.61 miles
X=4
You have to distribute the negative sign for everything in the parentheses. After that you add x to the other side then add 8 to the opposite side to move them. Then your answer is 4.
You can solve this by algebraically as well as graphically. When I tried both ways I got:
solution is x= -2<span />
Step-by-step explanation:
x+30°=180°{ straight angle}
x=180-30
x=150°
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