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Lady_Fox [76]
1 year ago
10

if a tree 20 meters tall casts a shadow 30 meters long, what is the angle of elevation from the shadow to the tip of the tree, t

o the nearest degree?
Mathematics
1 answer:
inn [45]1 year ago
6 0

sketch the situation

a trigonometric function that is a relation between the angle of elevation and the 2 sides of the rectangles is the tan

\tan \theta=\frac{opp}{adj}\tan \theta=\frac{20}{30}=\frac{2}{3}

find the inverse

\begin{gathered} \tan ^{-1}(\frac{2}{3})=\theta \\ \theta=33.69º \end{gathered}

after rounding the angle of elevation is 34º.

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