Question

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, to the nearest degree?

Answer 1

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=(opp)/(adj)`
`\tan \theta=(20)/(30)=(2)/(3)`

find the inverse

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

after rounding the angle of elevation is 34º.