Final answer:
Using the cosine function, the length of the adjacent side x in right triangle ABC with a hypotenuse of 46 and an angle of 70 degrees is approximately 15.732 units.
Step-by-step explanation:
To find the value of x in right triangle ABC, where the hypotenuse has a length of 46, the adjacent side is x, and the angle is 70 degrees, we use trigonometric functions. The cosine of an angle in a right triangle is equal to the adjacent side divided by the hypotenuse. Therefore, we use the cosine function to find x:
cos(70°) = x / 46
x = 46 × cos(70°)
To find x, we calculate 46 times the cosine of 70 degrees:
x ≈ 46 × 0.3420
x ≈ 15.732
The value of x, the length of the adjacent side in triangle ABC, is approximately 15.732 units.