Determine the Side Length Using Trigonometry

Calculate the height of a tree using a measuring tape. If the measuring tape is placed at the base of the tree and reaches up to a point 15 meters away from the base, while the tape forms an angle of 60 degrees with the ground, what is the height of the tree?

• 5√5

• 7

• 5√3

• 12

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CCSS.HSG.SRT.C.8

What is the cosine rule used for in non-right triangles?

• To calculate the area of non-right triangles.

• The cosine rule is used to find unknown sides or angles in non-right triangles.

• To determine the perimeter of any triangle.

• To find the height of a triangle.

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Choose the correct technique to find the missing side of this triangle

• Pythagoras Theorem

• Trigonometry Ratio

• Sine Rule

• Cosine Rule

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

The Sine Rule requires which of the following to solve for a side or an angle?

• Two angles and one side.

• All the sides and a 90˚ angle.

• Only a pair of angle and its opposite side.

• Two sides with an angle in between.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What are the techniques that you need to find the missing side?

• Trigonometry Ratios and Sine Rule

• Trigonometry Ratios and Cosine Rule

• Pythagoras and Sine Rule

• Pythagoras and Cosine Rule

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

The Law of Sine requires:

• Adjacent Pairs (2 side lengths)

• Opposite pair (angle and side)

• Hypotenuse

• A 90° triangle

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the length of BC.

• 14

• 15

• 16

• 17

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

• none of the above

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

The Cosine Law requires

• adjacent sides and an angle

• opposite pair of side and angle

• all three angles

• the hypotenuse

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

• 5.3

• 17

• 18.5

• 23.4

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11