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Please help with this math problem ASAP! It is due tonight! Will give brainliest! :)

Please Help With This Math Problem ASAP It Is Due Tonight Will Give Brainliest class=

Sagot :

Answer:

sin(x) = [tex]\frac{7}{25}[/tex]

x = 16.26°

Step-by-step explanation:

First use Pythagorean theorem to find the length of the hypotenuse. Use [tex]a^2 + b^2 = c^2[/tex]. Since we know a and b we can plug in to find c. When we plug in we get: [tex](7)^2 + (24)^2 = c^2[/tex]. When we solve this out we get 25 = c.

Now that we know the value of c, we also know sin(x) = [tex]\frac{opposite}{hypotenuse}[/tex]. Using this we see that sin(x) = [tex]\frac{7}{25}[/tex].

To get the exact degree value of x, take the inverse sin of [tex]\frac{7}{25}[/tex]:

[tex]sin^-1(\frac{7}{25})[/tex] which gives us 16.26020° rounded to 16.26°

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