8.2 Trigonometric Ratios. Quick Review: What ways can we solve right triangles? 6 9x 7 25 60 ⁰ 14 45 ⁰ 10 42 ⁰ 10 x ?

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Presentation transcript:

8.2 Trigonometric Ratios

Quick Review: What ways can we solve right triangles? 6 9x ⁰ ⁰ ⁰ 10 x ?

For the following right triangle: A C B

Three trigonometric Ratios – can you find these buttons on your calculator???? Sine (“sin”) Cosine (“cos”) Tangent (“tan”)

SOH-CAH-TOA Acronym that may help you remember the ratios

Find the sin, cos, and tan of the given angle. sin J = cos J = tan J = sin G = cos G = tan G =

Find the value of each variable: 9 x y 70°

Angle of Elevation & Depression -Angle of Depression: Angle from a horizontal line DOWN -Angle of Elevation: Angle from a horizontal line UP

Example- Now we can solve! The angle of elevation from the base to the top of a waterslide is about 13°. The slide extends horizontally about 58.2 m. Estimate the height h of the slide.