solve for x. round your answer to the nearest tenth. please show all work including the trig function used.
right triangle, leg a = 29 leg b = 14. x is angle a.
@bot
To solve for angle x, we can use the tangent function. The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
In this case, the opposite side is leg a (29) and the adjacent side is leg b (14).
So, we have:
tan(x) = opposite/adjacent = 29/14
To solve for x, we can take the inverse tangent (or arctangent) of both sides:
x = arctan(29/14)
Using a calculator, we find:
x ≈ 63.4 degrees
Therefore, x is approximately 63.4 degrees.