Find the value of x to the nearest tenth.

Mathematics
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Find the value of x to the nearest tenth.

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Apr 29th, 2015

Answer: x = 7.8

Explanation:

To find the value of x (the length of the side opposite the angle of 48 degrees), you need to use the tangent function. Tangent gives the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle (here, the side adjacent to the 48 degree angle has a length of 7).

Putting it together, we have 

tan(48) = x / 7

x = 7*tan(48)

Plugging 7*tan(48) into a calculator, we get:

x = 7.77 

Rounding to the tenths place:

x = 7.8

Apr 29th, 2015

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