find the sine of $angle t$.\nsimplify your answer and write it as a proper fraction, improper fraction, or…
find the sine of $angle t$.\nsimplify your answer and write it as a proper fraction, improper fraction, or whole number.\n$sin(t) = $
Answer
Explanation:
Step1: Recall sine definition
For an acute angle in a right triangle, $\sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}}$
Step2: Identify sides for $\angle T$
Opposite side to $\angle T$ is $UV = 24$, hypotenuse is $VT = 26$.
Step3: Substitute and simplify fraction
$\sin(T) = \frac{24}{26} = \frac{12}{13}$
Answer:
$\frac{12}{13}$