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Please help me find the value of x for this trig question

Please Help Me Find The Value Of X For This Trig Question class=

Sagot :

Answer:

11.330

Step-by-step explanation:

Answer:

x=11.3

Step-by-step explanation:

Hello There!

We can use trigonometry to solve for x

Remember these are the trigonometric ratios

SOHCAHTOA

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

We can use the angle that has a measure of 31 degrees

We are given the hypotenuse and we need to find its opposite side

hypotenuse and opposite corresponds with sine so we will use sine to create an equation

(remember sin = opposite over hypotenuse)

[tex]sin(31)=\frac{x}{22}[/tex]

now that we have created an equation we solve for x

step 1 multiply each side by 22

[tex]sin(31)*22=22sin(31)\\\frac{x}{22} *22=x\\x=22sin(31)\\sin(31)=0.5150380749\\0.5150380749*22=11.33083765\\x =11.33083765[/tex]

finally we round to the nearest tenth and get that x = 11.3

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