# In quadrant I, drawn a right triangle with one leg on the x-axis and its hypotenuse on the terminal side of drawn in standard position. If sin = 7/25, then what is the value of theta θ?

In quadrant I, drawn a right triangle with one leg on the x-axis and its hypotenuse on the terminal side of drawn in standard position. If $\mathrm{sin}=\frac{7}{25}$, then what is the value of $\theta$?

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Malena

Let opp = 7 and hyp = 25.
$op{p}^{2}+ad{j}^{2}=hy{p}^{2}$
${7}^{2}+adj={25}^{2}$
$49+ad{j}^{2}=625$
$ad{j}^{2}=576$
$adj=24$
tan theta is positive:
$\mathrm{tan}\theta =\frac{opp}{adj}=\frac{7}{24}$