Answer:
x = 8 .0 .
Step-by-step explanation:
Given : A right triangle with hypotenuse 10 units and angle 53 , 37 degree.
To find : Find the value of x to the nearest tenth.
Solution : We have given
Hypotenuse = 10 units.
Opposite side = x .
Adjacent side = y.
By the trigonometric ratio : sin(theta) = [tex]\frac{opposite}{hypotenuse}[/tex].
sin(53) = [tex]\frac{x}{10}[/tex].
0.798 = [tex]\frac{x}{10}[/tex].
On multiplying 10 both sides.
0.798 * 10 = x
7.98 = x
Rounded to nearest tenth x = 8 .0
Therefore, x = 8 .0
