Answer:
24/7
Explanation:
In a right triangle, the tan of an angle is given by the ratio:
Opposite side/Adjacent side relative to the angle
Here the side opposite to ∠T = RS , side adjacent to ∠T = ST
So the ratio is RS/ST
We know RS but we have to compute ST for the Pythagorean theorem for right triangles
Give a hypotenuse h and one of the sides a, the other side b is given by the formula
![b = √(h^2 - a^2)\\\\b = √(50^2 - 48^2)\\\\= √(2500 - 2,304)\\\\=√(196)\\\\= 14](https://img.qammunity.org/2023/formulas/mathematics/high-school/7lygfelplc6h536w8enylfl35o32zbv0dg.png)
So tan(∠T) = 48/14 = 24/7