Question

A tree casts a shadow of 14.5 feet at the sun degree 69.80°. What is the height of the tree?

Answer 1

Check the picture below.

`\tan(69.80^o )=\cfrac{\stackrel{opposite}{h}}{\underset{adjacent}{14.5}} \implies 14.5\tan(69.80^o)=h \implies 39.41\approx h`

Make sure your calculator is in Degree mode.