Basketball goal 10 ft high casts a shadow 36 ft long. find the elevation to the sun

angle of elevation to the sun is 15.52°

Step-by-step explanation:

basketball goal 10 ft high casts a shadow 36 ft long

This forms a right angle triangle. the diagram is attached below

We need to find out angle A

We know opposite side = 10ft and adjacent side = 36 ft

We use tan formula

To find A we move tan to the other side, it becomes tan^-1

A = 15.52

So angle of elevation to the sun is 15.52°