Question

SOLVE AND EXPLAIN HOW TO SOLVE

Answer 1

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:

$\displaystyle{\sin 16^{\circ} = \dfrac{x}{15}}$

Move 15 to multiply sin(16°):

$\displaystyle{15\sin 16^{\circ} = x}$

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:

$\displaystyle{x = 4.13456033...}$

Therefore, after rounding to 2 decimal places, the answer is:

$\displaystyle{x=4.13}$

Therefore, the value of x is 4.13 units.