A tree casts a shadow 9.3m long when the angle of the sun is 43 degrees. How tall is the tree?

We need the tangent here

The shadow length is the adjacent side  to the angle and we are  trying to  find the opposite side....so...

tan (43)  = Tree  Height

                 ___________             multiply bothsides by 9.3

                        9.3

9.3 * tan (43)  = Tree Height  ≈   8.67 m