The value of the missing side x is 38.40 units given the triangle is a right angled triangle with angle 38° and side opposite to the angle is 30 units. This can be obtained by using trigonometric ratios.
Find the value of the missing side:
Trigonometric identities,
If in a right triangle ΔABC where A is the right angle
- sin A = [tex]\frac{opposite\ side}{hypotenuse}[/tex]
- cos A =[tex]\frac{adjacent\ side}{hypotenuse}[/tex]
- tan A = [tex]\frac{opposite\ side}{adjacent\ side}[/tex]
In the question,
x is the adjacent side of the angle 38° and 30 units is the opposite side.
The ratio with opposite side and adjacent side is tan A
Therefore,
⇒ tan 38° = [tex]\frac{opposite\ side}{adjacent\ side}[/tex]
⇒ tan 38° = 30/x
⇒ x = 30/tan 38°
∵ tan 38° = 0.781285627
⇒ x = 30/0.781285627
⇒ x = 38.398249
⇒ x = 38.40
Hence the value of the missing side x is 38.40 units given the triangle is a right angled triangle with angle 38° and side opposite to the angle is 30 units.
Learn more about trigonometric ratios here:
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