Answered

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If raindrops are falling vertically at 7.90 m/s, what angle from the vertical do they make for a person jogging at 2.47 m/s? (Enter your answer in degrees.)

Sagot :

17.36 degrees

Explanation

Step 1

Diagram:

so, we have a rigth triangle then let

[tex]\begin{gathered} angle\text{ =}\theta \\ opposite\text{ side= 2.47} \\ adjacent\text{ side =7.9} \end{gathered}[/tex]

Step 2

now, we need a function that relates those values to find the missin angle , it is

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

replace ans solve for the angle

[tex]\begin{gathered} tan\theta=\frac{2.47}{7.9} \\ tan\theta=0.31 \\ inverse\text{ tan function in both sides} \\ \tan^{-1}(tan\theta)=\tan^{-1}(0.31) \\ \theta=17.36\text{ \degree} \end{gathered}[/tex]

therefore, the answer is

17.36 degrees

I hope this helps you

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