A building casts a shadow reaching 13 feet from the base of the building, with a diagonal distance of 15 feet from the top of the building. Using the inverse of sine, what is the approximate angle formed between the top of the building and the shadow?
Let θ be the angle formed between the top of the building and the shadow.
Based on the given information, we have the opposite side as 13 feet and the hypotenuse as 15 feet.
Using the inverse sine, we can determine θ:
θ = arcsin(13/15) ≈ 51.06 degrees.
Thus, the approximate angle formed between the top of the building and the shadow is 51.06 degrees.