Given sinθ=0.76, find θ in degrees to the nearest tenth.

To find θ given sinθ = 0.76, you can use the inverse sine function (also known as arcsine or sin^(-1)). Here's how:

Step 1: Write down the equation sinθ = 0.76.
Step 2: Use the inverse sine function on both sides of the equation to isolate θ. This will give you θ = sin^(-1)(0.76).
Step 3: Use a scientific calculator or a table of trigonometric values to find the angle whose sine is 0.76. Make sure your calculator is set to degrees mode.
Step 4: Calculate sin^(-1)(0.76) using your calculator. The result will give you the angle θ in radians.
Step 5: If necessary, convert the angle from radians to degrees by multiplying by 180/π.
Step 6: Round the angle to the nearest tenth to get the final answer in degrees.

So, by performing these steps, you can find the value of θ in degrees to the nearest tenth.