Answer:
0.4636 radians
Explanation:
To find theta in radians, we need to use the inverse tangent function, also known as arctangent. From the right triangle in the image, we have:
tangent(theta) = opposite/adjacent = 10/20 = 1/2
Taking the inverse tangent of both sides, we get:
theta = arctan(1/2)
Using a calculator or a trigonometric table, we find:
theta ≈ 0.4636 radians
Therefore, theta is approximately 0.4636 radians