For the given triangle, x = 8.6 cm.
Step-by-step explanation:
Step 1:
In the triangle, the given angle is 35°, the hypotenuse side's length is 15 cm. Assume the opposite side's length is x cm. To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.
[tex]sin\theta = \frac{oppositeside}{hypotenuse} .[/tex]
Step 2:
The opposite side's length = x cm.
The hypotenuse side's length = 15 cm.
[tex]sin\theta = \frac{oppositeside}{hypotenuse}, sin35=0.5735, sin 35 = \frac{x}{15} ,[/tex]
[tex]0.5299=\frac{x}{15}, x = 0.5735(15) = 8.6025[/tex]
So x of the given triangle measures 8.6025 cm, rounding this off, we get 8.6 cm.
