Question

Instructions: Find the missing side. Round your answer to the

Answer 1

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

• cos A =$\frac{adjacent\ side}{hypotenuse}$

• tan A = $\frac{opposite\ side}{adjacent\ side}$

 

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° = $\frac{opposite\ side}{adjacent\ side}$

⇒ 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:

brainly.com/question/23130410

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