Sine, Cosine, Tangent and Law of Sines

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft

• 65 ft

• 74 ft

• 87 ft

Tags

CCSS.HSG.SRT.C.8

What are the trigonometry ratios?

• Up and down.

• Low, high, medium.

• Sine, cosine, and tangent.

• Length, width, and height.

Tags

CCSS.HSG.SRT.C.6

The law of sine is used to

• find the angle and the side of an oblique triangle.

• find the unknown side of an oblique triangle.

• find the unknown angle or the side of an oblique triangle.

• find the unknown angle or the base of a triangle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What does SOHCAHTOA stand for?

• Sine = opposite over hypotenuse, cosine = adjacent over hypotenuse, and tangent = opposite over adjacent.

• Sine, cosine, and tangent.

• Hypotenuse, adjacent, and opposite.

• Cosine = opposite over hypotenuse, Tangent = adjacent over hypotenuse, and Sine = opposite over adjacent

Tags

CCSS.HSG.SRT.C.6

Trigonometry questions address the relationship between the angles of a triangle and the lengths of the (a)   .

Tags

CCSS.HSG.SRT.C.7

Solve using tanget

• 6.25

• 0.22

• 76

• 0.88

Tags

CCSS.HSG.SRT.C.8

The law of sines applies to any (a)   .

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What can you use the law of sines for?

• To find x or the length of the hypotenuse of a triangle.

• To find the base of a triangle.

• To find x or the length of the adjacent triangle.

• To find the height of the hypotenuse of a triangle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What triangles cannot be solved with law of sines?

• 2 sides and a non-included angle of a triangle or if we are given 2 sides.

• 2 sides and an included angle of a triangle or if we are given 3 sides.

• 2 sides and a non-included angle of a triangle.

• 3 sides and an included angle of a triangle or if we are given 3 sides.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Trigonometry helps to study the relationship between the sides and angles of ____ triangle.

• Acute

• Right

• Obtuse

• None

Tags

CCSS.HSG.SRT.C.7