find the value of x. Round to the nearest tenth. the diagram is not drawn to scale

Right triangle, 24 degrees, 24 degrees, 90 degrees, side length is 11

1 answer

Using trigonometry, we can calculate the length of side x using tangent:

tan(24 degrees) = x/11
x = 11 * tan(24 degrees)
x ≈ 4.9

Therefore, the value of x is approximately 4.9 when rounded to the nearest tenth.