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 60° 60° 90° 90° 30° 30° 45°
Using the inverse sine function, the approximate angle formed between the top of the building and the shadow can be found as:
angle = arcsin(opposite/hypotenuse)
= arcsin(13/15)
Using a calculator to find the arcsine of 13/15, we get:
angle ≈ 52.82°
Rounding to the nearest whole degree, the approximate angle formed between the top of the building and the shadow is 53°.