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?

Question

60,90,45,30

Answer 1

Let's denote the angle formed between the top of the building and the shadow as θ.

We can use the inverse sine function to find θ:

sin(θ) = opposite/hypotenuse
sin(θ) = 13/15

Now, we can take the inverse sine of both sides to solve for θ:

θ ≈ sin^(-1)(13/15)
θ ≈ 48.59 degrees

Therefore, the approximate angle formed between the top of the building and the shadow is 48.59 degrees, which is closest to 45 degrees.