Answer:
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
[tex]tan(A) = \frac{opposite}{adjacent}[/tex]
[tex]tan(A) = \frac{10}{36}[/tex]
To find A we move tan to the other side, it becomes tan^-1
[tex]A =tan^{-1}(\frac{10}{36})[/tex]
A = 15.52
So angle of elevation to the sun is 15.52°
