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Ierofanga [76]
3 years ago
8

Can someone please help me with this trigonometry problem. I would highly appreciate it if you did​

Mathematics
1 answer:
dexar [7]3 years ago
5 0

Answer:

x ≈ 16.52

Step-by-step explanation:

Use the tangent ratio in the right triangle to find x

tan36° = \frac{opposite}{adjacent} = \frac{12}{x}

Multiply both sides by x

x × tan36° = 12 ( divide both sides by tan36° )

x = 12 / tan36° ≈ 16.52 ( to 2 dec. places )

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\text{Hey there!}

\mathsf{-\dfrac{5}{2}a+5=25}

\text{\bf{SUBTRACT}}\mathsf{\ by\ 5\ on\ your\ sides}\\\mathsf{-\dfrac{5}{2}a+5-5=25-5}\\\\\mathsf{Cancel\ out: 5-5\ because\ it\ gives\ you\ 0}\\\\\mathsf{Keep: 25 - 5\ because\ it\ helps\ us\ solve\ for\ a}\\\\\mathsf{25-5=20}\\\\\mathsf{New\ equation:- \dfrac{5}{2}a=20}

\text{\bf{MULTIPLY}}\mathsf{\  \dfrac{2}{-5}\ on\ your\ sides}\\\\\mathsf{\dfrac{2}{=5}\times\dfrac{-5}{2}a=\dfrac{2}{-5}\times20}\\\\\mathsf{Cancel\ out: \dfrac{2}{-5}\times\dfrac{-5}{2}\ because\ it\ gives\ you\ 1}\\\\\mathsf{Keep: \dfrac{2}{-5}\times20\ because\ it\ gives\ you\ the\ value\ of\ a}\\\\\mathsf{\dfrac{2}{-5}\times20=-8}

\boxed{\boxed{\boxed{\boxed{\mathsf{Thus\ your\ answer\boxed{\boxed{\mathsf{a=-8}}}}}}}}\checkmark

\large\text{Good luck on your assignment and enjoy your day!}

~\dfrac{\frak{LoveYourselfFirst}}{:)}

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