You’re hiking in Zion National Park when you stop to look at a specific rock feature. The rock feature is 300 feet above the base of the mountain, and the diagonal distance between you and the rock feature is 750 feet. Using the inverse of sine, what is the angle of elevation you are using to look up at the feature? Round your answer to the nearest whole degree.(1 point)
To find the angle of elevation using the inverse sine function, you need to use the formula:
Angle of elevation = sin^(-1)(opposite/hypotenuse)
In this case, the opposite side is 300 feet (height of the rock feature), and the hypotenuse is 750 feet (diagonal distance). Therefore:
Angle of elevation = sin^(-1)(300/750)
Angle of elevation = sin^(-1)(0.4)
Angle of elevation ≈ 23 degrees
So, the angle of elevation you are using to look up at the rock feature is approximately 23 degrees.