Answer:
4.13
Step-by-step explanation:
Using sine ratio where it states that sine of a measurement is equal to ratio of opposite of measurement to hypotenuse (slant side/side with slope)
From the question, our opposite is x, hypotenuse is given as 15 units and the measurement is 16°. Apply the formula:
[tex]\displaystyle{\sin 16^{\circ} = \dfrac{x}{15}}[/tex]
Move 15 to multiply sin(16°):
[tex]\displaystyle{15\sin 16^{\circ} = x}[/tex]
Go ahead and input the value in a calculator since it's not a special triangle - a measurement that can be found using hand method - after you find the value, round it to 2 decimal places:
[tex]\displaystyle{x = 4.13456033...}[/tex]
Therefore, after rounding to 2 decimal places, the answer is:
[tex]\displaystyle{x=4.13}[/tex]
Therefore, the value of x is 4.13 units.
