Question

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

Answer 1

Answer:

sin(x) = $\frac{7}{25}$

x = 16.26°

Step-by-step explanation:

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

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

To get the exact degree value of x, take the inverse sin of $\frac{7}{25}$:

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