Warm-up: Get everything out of your folders!

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Presentation transcript:

Warm-up: Get everything out of your folders!

7.5 Apply the Tangent Ratio Use the tangent ratio for indirect measurement.

Tangent Ratio A trigonometric ratio is a ratio of the lengths of two sides in a right triangle. You will use the trigonometric ratio to find the measurement of a side or an acute angle in a right triangle The ratio of the lengths of the legs in a right triangle is constant for a given angle measurement. The ratio is called the tangent of the angle.

Tangent Ratio

Complementary Angles In a right triangle, <A and <B are complementary so you can use the same diagram to find the tangent of <A and the tangent of <B.

Example 1 Find the tan D and tan F. tan D = ________ tan F = _________

Example 2: Find the value of x.

Example 3: Find the height of the flagpole to the nearest foot.

Example 5: Use special right triangles to find the tangent of a 60o angle. 60o 2 1 30o

Guided Practice: find the value of x. 1. 2. 3.