Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.

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Solving Right Triangles Geometry H2 (Holt 8-3) K. Santos

Transcript of Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.

Page 1: Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.

Solving Right TrianglesGeometry H2 (Holt 8-3) K. Santos

Page 2: Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.

Identifying Parts in Right Triangle

A B

C

Using <A Using <CHypotenuse:

Opposite Side:

Adjacent Side:

Page 3: Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.

Trigonometric Ratios:

SOH-CAH-TOA

Sine ϑ = = SOH

Cosine ϑ = = CAH

Tangent ϑ = = TOA

Page 4: Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.

Inverse Trigonometric Functions

If = x then = m<A

If = x then = m<A

If = x then = m<A

These rules tell use that we are going to use the inverse of the functions to find the angle

On your calculator you will be using the inverse key (2nd key)

Page 5: Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.

Use calculator to find angle

Use your calculator to find each angle measure to the nearest degree.

1.

Page 6: Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.

Example—Finding an angle

Find x. 5

x 9

Page 7: Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.

Find the unknown measures.

Find the unknown measures. Round the lengths to the nearest hundredths and angle measures to the nearest degree. 5

S R

5.7T

To find missing side use pythagorean theorem

Page 8: Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.

Find the angle measurements

The side lengths of a right triangle are: 6, 8, and 10. Find the measures of the acute angles in the triangle. Round to the nearest degree. A

B C

Find the sin and cos of different angles

Page 9: Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.

Percentage of grade problem

A highway sign warns that a section of road ahead has a 7% grade. To the nearest degree, what angle does the road make with a horizontal line?

x

7% = = =


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