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Use a trigonometric ratio to find the measure of 0 in the triangle below. Give your answer to the nearest degree. You may use the trigonometric functions of the Desmos scientific calculator:

Use A Trigonometric Ratio To Find The Measure Of 0 In The Triangle Below Give Your Answer To The Nearest Degree You May Use The Trigonometric Functions Of The D class=

Sagot :

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{9}{10}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=0.9[/tex]

[tex]\\ \sf\longmapsto sin^{-1}\Theta=sin^{-1}(0.9)[/tex]

[tex]\\ \sf\longmapsto \Theta=64.15°[/tex]

Answer:

• from trigonometric ratios:

[tex]{ \boxed{ \rm{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ [/tex]

• opposite → 9 cm

• hypotenuse → 10 cm

[tex]{ \rm{ \sin( \theta) = \frac{9}{10} }} \\ \\ { \rm{ \theta = { \sin }^{ - 1}( \frac{9}{10}) }} \\ \\ { \boxed{ \rm{ \theta = 64.2 \degree}}}[/tex]

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