Question

Find the value of x. Round to the nearest tenth.

Answer 1

Answer:

d 26

Step-by-step explanation:

sin(38)=16/x

times the x on both sides

sin(38)×x=16

divide by the sin(38) on both sides

x=16/sin(38)

x=25.98=26

Answer 2

Answer:

D.) 26

Step-by-step explanation:

Use the sine ratio because we are working with the side opposite the given angle and need to find the hypotenuse:

$sineX=\frac{opposite}{hypotenuse}$

Insert values:

$sin38=\frac{16}{x}$

Solve for x. Multiply both sides by x:

$x(sin38)=x(\frac{16}{x})\\\\ x*sin38=16$

Isolate x. Divide both sides by sin 38:

$\frac{x*sin38}{sin38}=\frac{16}{sin38}\\\\ x=\frac{16}{sin38}$

Insert this value into a calculator:

$x=25.988$

Round to the nearest tenth:

$x=26.0$