Question

In right triangle RST, with m∠ S=90° , what is sin T ? A. ST/RT

B. RS/RT
C. RS/ST
D. RT/RS
E. RT/ST

Answer 1

In the right triangle RST with angle S being 90 degrees, sin T is the ratio of the length of the side opposite angle T (RS) to the length of the hypotenuse (RT), which corresponds to option B. RS/RT.

Step-by-step explanation:

The question asks us to determine the value of sin T in a right triangle RST, where angle S is 90 degrees. In any right triangle, the sine of an angle is the ratio of the length of the side opposite the angle to the length of the longest side of the triangle, which is the hypotenuse. Since angle T is opposite side RS, and the hypotenuse is RT, sin T will be equal to the ratio of RS to RT.

Therefore, the correct option for sin T in triangle RST is B. RS/RT. This relationship is a direct application of the definition of the sine function in a right-angled triangle and is a part of basic trigonometry.