In order to find the angle θ in the right triangle using a table of trigonometric values, we need to know at least two of the side lengths of the triangle (opposite, adjacent, or hypotenuse) and the corresponding trigonometric ratio (sin, cos, or tan).
Since we are given the value of the sine (sin) ratio, we need to know the lengths of the opposite side and the hypotenuse. Let's assume the opposite side has a length of 5 and the hypotenuse has a length of 10 (these values are arbitrary).
Using the formula sin(θ) = opposite/hypotenuse, we can substitute the given values to find sin(θ) = 5/10 = 1/2.
Now, we can refer to a table of trigonometric values to find the angle θ that has a sine ratio of 1/2.
Looking at the table, we find that for sin(θ) = 1/2, the corresponding angle is 30 degrees (or π/6 radians).
Therefore, the angle θ in the right triangle is approximately 30 degrees.
Use a table of trigonometric values to find the angle θ in the right triangle in the following problem. Round to the nearest degree, if necessary.
sin
1 answer