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Find the value of x to the nearest degree

Find the value of x to the nearest degree-example-1
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User GrahamB
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Trigonometry.

We must use the SOH CAH TOA rule to find the missing angle, x.

Given that the two known sides: opposite to angle x is 7 and the adjacent side to angle x is 11, we use the tan sign because tan is for TOA which is (opposite/adjacent).

So we can write the equation like this:

tan(x)= 7/11

To get x, inverse tan on calculator:

Tan^-1 (7/11) = 32.4711...

Round it off = 32 degrees.

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User DangVarmit
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