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3 years ago

Can someone please help find X.

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

4 0

Answer:

32°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the trig function relating angles to the opposite and adjacent sides of the triangle is ...

Tan = Opposite/Adjacent

The side opposite the angle x is shown as having measure 5; the side adjacent has measure 8. Putting all this in the above equation gives ...

tan(x) = 5/8

To find the angle from the value of the tangent, you use the inverse of the tangent function. The name of that is the <em>arctangent</em> function. It is often written as tan⁻¹(x) and often accessible on your calculator using a "second function" key. Some calculators, like the one shown in the attachment, recognize the arctan function name.

x = arctan(5/8) ≈ 32°

The value of x rounded to the nearest whole degree is 32°.

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