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?(1 point)

Responses

30°
30°

90°
90°

60°
60°

45°

1 answer

45°

To find the angle formed between the top of the building and the shadow, we can use the inverse sine function as follows:

sin(angle) = opposite/hypotenuse
sin(angle) = 13/15
angle = sin^(-1)(13/15)
angle ≈ 45°

Therefore, the correct answer is 45°.