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Find the value of x to the nearest tenth

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Find the value of x to the nearest tenth httpsdlapgradpointcomReszA40ABAAAAAwumFZaASFd1BIadm3YmiApbuNLs1nAHw7D86575079DE0000Assetstestitemimagesalgebra1bradical class=

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theandysanchez
Since this is a right triangle and we have an angle and a side we can solve for any other side by using sohcahtoa. Now lets look at what we know we have the angle 35 degrees and the side adjacent to the angle is 10. we are looking for the side opposite to the angle. so we need a formula that uses opposite and adjacent that is toa, tan(angle)=oppisite/adjacent
now lets plug in tan(35)=x/10
x=10*tan(35)
x=7.002 now round to nearest tenth
x=7.0

eljimenezf

Answer:

the right answer to this question is

X= 7.0 aproximately

Step-by-step explanation:

to find the value of x, first of all, we need to know that this triangle is a right triangle and we have one angle, and in the adjacent of the angle, we have a value.

So to find the value of x, we need to use one of the trigonometric functions.

we can see that x is in the opposite on the angle and knowing so; we can use the function Tan.

Remembering

Tan of an angle is equal to [tex]\frac{opposite}{adjacent}[/tex]

in other words, we have

[tex]Tan35[/tex]°= [tex]\frac{opposite}{adjacent}[/tex]

replacing we got

[tex]Tan 35=\frac{x}{10}[/tex]

now we just need to solve this.

10 is dividing in the right part of the equation (the "="  is the "center" to know where is right and left) so in the left part will be multiplicating; so with this we have

[tex]10(tan35)=x[/tex]

finally we just need to resolve the parenthesis

[tex]tan35=0.70[/tex]

replacing we have

[tex]10*0.70=x[/tex]

[tex]10*0.70=7[/tex]

so [tex]x=7.0[/tex]

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