Find the value of x. round your answer to the nearest tenth.
a.) 52.6
b.) 52.9
c.) 6.2
d.) 6.5


Find the value of x. round your answer to the nearest tenth. a.) 52.6 b.) 52.9 c.)

Answers

6.2

Step-by-step explanation:

sin 20 = x/18

solve for x

Option A: 12.5

Step-by-step explanation:

We use trigonometric ratios on this right angled triangle.

$ cos \hspace{1mm} \theta = \frac{adj}{hyp} $

we get:

$ cos \hspace{1mm} 28^{\circ} = \frac{11}{x} $

Also cos 28° = 0.88

Therefore, x = $ \frac{11}{0.88} $

$ = \frac{100}{8}  =\textbf{12.5} $

OPTION A is the answer.

Option A: 12.5

Step-by-step explanation:

We use trigonometric ratios on this right angled triangle.

$ cos \hspace{1mm} \theta = \frac{adj}{hyp} $

we get:

$ cos \hspace{1mm} 28^{\circ} = \frac{11}{x} $

Also cos 28° = 0.88

Therefore, x = $ \frac{11}{0.88} $

$ = \frac{100}{8}  =\textbf{12.5} $

OPTION A is the answer.



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