Answer:
x = 10
Step-by-step explanation:
Since the triangle is right use the sine ratio to find x
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{5}{x}[/tex]
cross- multiply
x × sin30° = 5 ( sin30° = 0.5 )
0.5x = 5 ( divide both sides by 0.5 )
x = 10
Answer: The value of x is 10 units.
Step-by-step explanation: We are given to find the value of x from the figure shown.
We can see in the figure a right-angled triangle where
one of the acute angle has measure 30°, the perpendicular associated with this acute angle is of length 5 units and the hypotenuse is of length x units.
We are to find the value of x.
Applying the ratio for sine of an acute angle in the given right-angled triangle, we have
[tex]\sin 30^\circ=\dfrac{5}{x}\\\\\\\Rightarrow \dfrac{1}{2}=\dfrac{5}{x}\\\\\Rightarrow x=5\times2\\\\\Rightarrow x=10~\textup{units}.[/tex]
Thus, the value of x is 10 units.
