Given sinθ=0.76, find θ in degrees to the nearest tenth.
49.5
To find θ, we need to use trigonometric inverse functions, such as arcsin or sin^(-1). Since we are given sinθ = 0.76, we can use the arcsin function to find the angle θ.
The arcsin function returns the angle whose sine is a given value. In this case, we want to find the angle whose sine is 0.76.
Using a scientific calculator or mathematical software, we can evaluate arcsin(0.76) to find θ.
arcsin(0.76) ≈ 51.8388
Therefore, θ is approximately 51.8388 degrees to the nearest tenth.