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angle Your Turn Apply the tangent ratio to find unknown lengths 1 A ladder needs...

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angle Your Turn Apply the tangent ratio to find unknown lengths 1 A ladder needs to reach the second story window which is 10 feet above the ground and make an angle with the ground at 70 How far out from the building does the base of the ladder need to be positioned Round your answer to the nearest tenth EXPLAIN 3 Finding an Angle Measure Using Tangent Read Explain 3 and complete Your Turn 1 2 adapted from Lesson 13 1 Show all your work The inverse tangent function tan x takes a tangent ratio x and returns the angle If ratio the length of the two legs of a right triangle are nown then the inverse tangent function can be used to find the unknown measure of an angle of that right triangle You can use a scientific calculator to determine the value of this angle for any given ratio Again when using a calculator to evaluate an inverse trigonometric function you will need to make sure it is in degree mode not radian mode see explain 2 above Inverse of the Tangent Function Words Symbols Let ZA be an acute angle of right triangle A ABC and let x be the tangent ratio of ZA The inverse tangent of x is the measure of ZA tan 1 If tan A x then tan x mLA Y CA m A 70 X 10 ft Z tan x angle

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