Question

Find the missing side. Round to the nearest tenth. 14 18°

Answer 1

The missing side is x = 4.33

How to find the missing side?

We want to find the missing side in the right triangle. We can see that x is the opposite cathetus of the given angle, so we can use the trigonometric relation:

sin(angle) = (opposite cathetus)/hypotenuse

Replacing what we know, we will get:

sin(18°) = x/14

Solving for x:

x = sin(18°)*14 = 4.33

Answer 2

The given triangle is a right angle triangle. Taking angle 18 degrees as the reference angle, then

hypotenuse = 14

opposite side = x

To find x, we would apply the sine trigonometric ratio which is expressed as

Sin# = opposite side/hypotenuse

# = 18 degrees

Thus, we have

Sin 18 = x/14

x = 14 Sin18

x = 14 * 0.309

x = 4.326

Rounding to the nearest tenth,

x = 4.3