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7.5 Apply the Tangent Ratio

7.5 Apply the Tangent Ratio. Hubarth Geometry. Sine, cosine and tangent are the three trigonometric functions we use in Geometry. SOH CAH TOA is a phrase that we use to help us remember the ratios of these functions. SOH - Sin = CAH - Cos = TOA - Tan =. Tangent Ratio

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7.5 Apply the Tangent Ratio

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  1. 7.5 Apply the Tangent Ratio Hubarth Geometry

  2. Sine, cosine and tangent are the three trigonometric functions we use in Geometry. SOH CAH TOA is a phrase that we use to help us remember the ratios of these functions. SOH - Sin = CAH - Cos = TOA - Tan = Tangent Ratio Let be a right triangle with acute angle A. The tangent of angle A (written as tan A) is defined as follows: tan A = = tan A = B hypotenuse leg opposite A A C leg adjacent to A

  3. Ex 1 Find Tangent Ratios Find tan Sand tan R. Write each answer as a fraction and as a decimal rounded to four places. tan S = = =

  4. Ex 2 Find a Leg Length Find the value of x. opp adj tan 32 = x = 17.6

  5. Ex 3 Estimate height Using Tangent Find the height hof the lamppost to the nearest inch. 40 tan 70 = h h= 109.9 in

  6. Practice Find tan Jand tan K. Round to four decimal places. tan J = 0.53 tan K = 1.88 tan J = 0.75 tan K = 1.33 Find the value of x. Round to the nearest tenth. x = 12.2 x = 19.3

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