Question

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

16
38
Not drawn to scale
а
9.9
b
26.1
C
10.2
d
26

Answer 1

D.) 26

Explanation:

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

`sineX=(opposite)/(hypotenuse)`

Insert values:

`sin38=(16)/(x)`

Solve for x. Multiply both sides by x:

`x(sin38)=x((16)/(x))\\\\ x*sin38=16`

Isolate x. Divide both sides by sin 38:

`(x*sin38)/(sin38)=(16)/(sin38)\\\\ x=(16)/(sin38)`

Insert this value into a calculator:

`x=25.988`

Round to the nearest tenth:

`x=26.0`

Answer 2

d 26

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