9.1 – Trigonometric Ratios. Topic One Solving for missing pieces of information.

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Trigonometry Ratios.

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Presentation transcript:

9.1 – Trigonometric Ratios

Topic One Solving for missing pieces of information.

Find the Value of x 15 x 47  opposite hypotenuse THIS IS WHEN THE MODE OF YOUR CALCULATOR MATTERS!!!! When you evaluate trig. functions at angles you need to be in the correct angle units.

Find the Value of x 15 x 22  adjacent hypotenuse

Topic Two Solving for ALL of the missing pieces of information.

Solving Right Triangles When asked to SOLVE A RIGHT TRIANGLE ▫Find ALL missing sides ▫Find ALL missing angles What to Use when solving a right triangle: ▫SOH – CAH – TOA ▫Pythagorean Thm. ▫Triangle Sum Thm. ▫Inverse Trig (solve for unknown angles)

Solve the Right Triangle 55 ∘ 10.65

Solve the Right Triangle

Why is Trigonometry important? Flight of Planes Sound Waves (study in music theory classes) Current of the Ocean Architecture Navigation/Surveying Without Trig. we would have NEVER made it to the moon! Launch and Orbital Trajectories

Topic Three Angles of Elevation and Depression

Angle of Elevation & Depression

Angle of Depression From the top of a vertical cliff 40 m high, the angle of depression of an object that is level with the base of the cliff is 34º. How far is the object from the base of the cliff?

Angle of Elevation A plane must clear a building near the end of the runway that is 80 feet high. If the building is 100 feet from the end of the plane, what does the angle of elevation at take off need to be?

Mini-Quiz