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9966 [12]
3 years ago
15

Use the cosine ratio or the inverse cosine to solve for x. Round your answer to the nearest tenth.

Mathematics
1 answer:
maria [59]3 years ago
7 0

Answer:

x ≈ 12.6 m

Step-by-step explanation:

By using cosine ratio in the given right triangle RTS,

cos(S)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(33)° = \frac{\text{ST}}{\text{SR}}

cos(33)° = \frac{x}{15}

x = 15.cos(33)°

x = 12.58

x ≈ 12.6 m

Therefore, measure of side ST = 12.6 m is the answer.

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~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ R(\stackrel{x_1}{-7}~,~\stackrel{y_1}{5})\qquad S(\stackrel{x_2}{17}~,~\stackrel{y_2}{5}) ~\hfill RS=\sqrt{(~~ 17- (-7)~~)^2 + (~~ 5- 5~~)^2} \\\\\\ ~\hfill RS=\sqrt{( 24)^2 + ( 0)^2}\implies \boxed{RS=24} \\\\\\ S(\stackrel{x_1}{17}~,~\stackrel{y_1}{5})\qquad T(\stackrel{x_2}{5}~,~\stackrel{y_2}{0}) ~\hfill ST=\sqrt{(~~ 5- 17~~)^2 + (~~ 0- 5~~)^2}

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3 0
1 year ago
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