Answer :
To find the value of x given that 4 sin x° = 4/15, sin x° is isolated and the inverse sine of 1/15 is calculated, which gives approximately x ≈ 3.8° when rounded to the nearest tenth.
To find the value of x given that 4 sin x° = 4/15, we first need to isolate sin x°. We do this by dividing both sides of the equation by 4, which gives us sin x° = 1/15.
Next, we need to find the inverse sine (also known as arcsin) of 1/15 to obtain the angle x, for which the sine is 1/15.
We use a calculator to find arcsin(1/15), which gives us x ≈ 3.8°.
However, we were asked to round to the nearest tenth; thus, the value is approximately x ≈ 3.8° (rounded to the nearest tenth).