Right Triangle Side Calculation

In a right-angled triangle, you know a drop of 7 meters and an angle of 30 degrees. Calculate the type of overhang; calculate both variants - the specified angle is opposite and adjacent to the specified perpendicular.

Final Answer:

b₁ =  12.1244 m
b₂ =  4.0415 m

Step-by-step explanation:

$$\begin{gathered} a=7\text{m} \\ \alpha =30{}^{\circ } \\ \tan \alpha =a:b_1 \\ {b}_1=a/\tan \alpha =a/\tan 30°=7/\tan 30°=7/0.57735=12.124=12.1244\text{m} \end{gathered}$$

$$\begin{gathered} \tan \alpha =b_2:a \\ {b}_2=a\cdot \tan \alpha =a\cdot \tan 30°=7\cdot \tan 30°=7\cdot 0.57735=4.041=4.0415\text{m} \end{gathered}$$

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