Finding Missing Sides and Angles in Right Triangles

The video tutorial covers the use of trigonometric ratios—sine, cosine, and tangent—to find missing sides and angles in right triangles. It provides examples of solving for a missing side using cosine and sine, including cases where the unknown is in the denominator. The tutorial also explains how to find missing angles using inverse trigonometric functions, with practical examples and calculator instructions.

What trigonometric ratio is used to find the opposite side over the hypotenuse?

• Cosine

• Sine

• Tangent

• Secant

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If angle A is 32 degrees and side AB is 17 cm, which trigonometric function would you use to find side AC?

• Tangent

• Sine

• Cosine

• Cotangent

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CCSS.HSG.SRT.C.6

What is the value of side AC if angle A is 32 degrees and side AB is 17 cm?

• 14.42 cm

• 15.42 cm

• 16.42 cm

• 17.42 cm

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When solving for a missing side using the sine ratio, what should you do if the missing side is in the denominator?

• Subtract the sine of the angle from both sides

• Add the sine of the angle to both sides

• Divide both sides by the sine of the angle

• Multiply both sides by the missing side

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CCSS.HSG.SRT.C.8

If angle B is 51 degrees and side AC is 15 inches, what is the length of side AB?

• 19.30 inches

• 21.30 inches

• 18.30 inches

• 20.30 inches

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What is the first step in solving for a missing angle in a right triangle?

• Label the sides with respect to the given angle

• Identify the right triangle

• Use the Pythagorean theorem

• Find the hypotenuse

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Which trigonometric function is used to find the angle when you know the opposite and adjacent sides?

• Cosine

• Cosecant

• Tangent

• Sine

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CCSS.HSG.SRT.C.6

If the opposite side is 7 and the adjacent side is 9, what is the tangent of angle B?

• 9/7

• 7/9

• 7/16

• 9/16

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CCSS.HSG.SRT.C.6

What is the measure of angle B if the tangent of B is 7/9?

• 37.87 degrees

• 36.87 degrees

• 35.87 degrees

• 38.87 degrees

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How can you find angle A if you know angle B and the right angle?

• Divide angle B by 2

• Multiply angle B by 2

• Add angle B to 90 degrees

• Subtract angle B from 90 degrees

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