For the given triangle, x measures 8.6 cm.
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of x units, the adjacent side has a length of y units while the hypotenuse of the triangle measures 15 units. The angles given are 35° and 90°, this makes the triangle a right-angled triangle.
Step 2; As we have the values of the angle and the hypotenuse, we can calculate the sine of the angle to determine the value of x.
sin 35° = [tex]\frac{oppositeside}{hypotenuse}[/tex] = [tex]\frac{x}{15}[/tex], sin 35° = 0.57357.
0.57357 = [tex]\frac{x}{15}[/tex], x = 0.57357 × 15 = 8.60355 cm.
Rounding this off to the nearest tenth, we get x = 8.6 cm.
