To find the value of x using trigonometric ratios, we need to first identify which trigonometric ratio to use. Since we are given the angle and the adjacent side, we can use the cosine ratio which is:
cos(θ) = adjacent/hypotenuse
where θ is the angle and the adjacent side is the side adjacent to the angle. The hypotenuse is the longest side of the triangle, which is given as 24.
cos(32°) = x/24
Multiplying both sides by 24 we get:
x = 24cos(32°)
Using a calculator, we evaluate this expression to get:
x = 20.3 (rounded to the nearest tenth)
Therefore, the value of x is approximately 20.3 units.
Find the value of x using trigonometric ratios. Round to the nearest tenth
24-32° right triangle
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1 answer
1 answer