For the given triangle, x measures A) 25.7 units.
Step-by-step explanation:
Step 1:
In the given triangle, the angle is 56°. The adjacent side has a length of x units and the hypotenuse of the triangle measures 46 units.
To calculate the value of x, we determine the cos of the triangle where we divide the length of the adjacent side by the length of the hypotenuse.
[tex]cos\theta = \frac{adjacent side}{hypotenuse} .[/tex]
Step 2:
The length of the adjacent side = x units.
The length of the hypotenuse = 46 units.
The angle of the triangle = 56°.
[tex]cos56 = \frac{x}{46}, cos 56 = 0.5591.[/tex]
[tex]x =(0.5591)(46) = 25.7186.[/tex]
So x = 25.7186 units, rounding this is off we get option A.
