Answered

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You leave your house and run 6 miles due west followed by 3.5 miles due north. At that time, what is your bearing from your house?

You Leave Your House And Run 6 Miles Due West Followed By 35 Miles Due North At That Time What Is Your Bearing From Your House class=

Sagot :

N 60° W

Explanation

Step 1

draw the situation

we have a right triangle, so we can use a trigonometric function to find the missing angle,

then

Let

[tex]\begin{gathered} \text{opposite side= 3.5 m} \\ \text{adjacent side=6 mi} \end{gathered}[/tex]

so, we need a function that relates those values

[tex]\tan \alpha=\frac{opposite\text{ side}}{\text{adjacent side}}[/tex]

replace

[tex]\begin{gathered} \tan x=\frac{3.5}{6} \\ \text{ Inverse tan in both sides} \\ \tan ^{-1}(\tan x)=\tan ^{-1}(\frac{3.5}{6}) \\ x=30.25 \\ \text{rounded } \\ x=30\text{ \degree} \end{gathered}[/tex]

so, the direction is

N 60° W

View image DekariG48527
View image DekariG48527
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