To find the side length (x) in a right-angled triangle with an angle of 24 degrees and an adjacent side of 5.3, use the cosine function: x = 5.3 * cos(24 degrees), yielding x = 4.8269.
To solve for x in a trigonometry problem, you typically need to identify the given measures, such as angles and sides, and then use trigonometric functions like sine, cosine, or tangent.
Given an angle of 24° and a side length of 5.3, you use the function that relates these with the side you are trying to find, which could be either sine, cosine, or tangent, depending on the context. For example, if the side you are looking for is the adjacent side of the angle in a right-angled triangle, you would use the cosine function:
cos(24°) = x / 5.3
From there, you would solve for x by multiplying both sides of the equation by 5.3:
x = 5.3 × cos(24°)
x = 4.8269