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19. Find the value of x to the nearest tenth. 6

19. Find the value of x to the nearest tenth. 6-example-1
User Doublebyte
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1 Answer

27 votes
27 votes

In order to solve this, we can use trigonometric ratios. The cosine ratio is given by the following formula:


\cos \theta=(ca)/(hy)

Where ca is the adjacent leg to angle θ and hy is the length of the hypotenuse. In this case, θ=50°, ca = 6 and hy = x.

By replacing these values into the above formula, we get:


\cos 50=(6)/(x)

From this equation, we can solve for x to get:


x=(6)/(\cos 50)=9.3

Then, x = 9.3

User Kskaradzinski
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