 ABC ~  MNP ~  DEF P D N M 0.73 1.27 5 1.82 Find the ratios. Round to 4 decimals places. D E F 4 4√2 A B C 2 2√2 M N P 3 3√2 C B A 2 20 o 3.5 20 o E.

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Presentation transcript:

 ABC ~  MNP ~  DEF P D N M Find the ratios. Round to 4 decimals places. D E F 4 4√2 A B C 2 2√2 M N P 3 3√2 C B A 2 20 o o E F

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Answers to Quiz 8) AB = 3 BD=3 √3 D(8 - 3 √3, 3) D(2.8, 3) m: 6) B A

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Trigonometric Ratios  All right triangles with one angle congruent are ________  Because the triangles are similar, the sides are ______________ xoxo similar proportional opposite hypotenuse adjacent TRIGONOMETRIC RATIOS Sine (sin) sin x = opposite hypotenuse Cosine (cos) cos x = adjacent hypotenuse Tangent (tan) tan x = opposite adjacent SOH – CAH - TOA sin y = opposite hypotenuse cos y = adjacent hypotenuse tan y = opposite adjacent yoyo

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Find the side of the triangle adjacent hypotenuse opposite SOH-CAH-TOA sin x = opposite hypotenuse Which ratio should be used? Identify sides based on the known angle Fill in all known information sin 55 = 25 x Simplify ratio and turn into a proportion = 25 x 1 Solve x = 30.5