Question
Determine the length of the X to the nearest tenth. 16, 55 degrees.
Answers
Answered by
GPT 3.5
To find the length of side X in this scenario, we can use the cosine function. The formula to find a side length in a right triangle is:
cos(angle) = adjacent side / hypotenuse
In this case, the angle is 55 degrees and the adjacent side is X. The hypotenuse is already given as 16. We can plug these values into the formula and solve for X:
cos(55) = X / 16
X = 16 * cos(55)
X = 16 * 0.5736
X ≈ 9.1776
Therefore, to the nearest tenth, the length of side X is 9.2.
cos(angle) = adjacent side / hypotenuse
In this case, the angle is 55 degrees and the adjacent side is X. The hypotenuse is already given as 16. We can plug these values into the formula and solve for X:
cos(55) = X / 16
X = 16 * cos(55)
X = 16 * 0.5736
X ≈ 9.1776
Therefore, to the nearest tenth, the length of side X is 9.2.