Question

If r=20.5 and s=34.2 find S Round to the nearest tenth

Answer 1

Answer: option d

Step-by-step explanation:

Remember the identity:

$tan\alpha=\frac{opposite}{adjacent}$

The inverse of the tangent function is arctangent. You need to use this to calculate the angle "S":

 $\alpha =arctan(\frac{opposite}{adjacent})$

Knowing that: you need to find the measure of the angle "S" , $r=20.5$ (which is the adjacent side) and $s=34.2$ (which is the opposite side), you can sustitute values into $\alpha =arctan(\frac{opposite}{adjacent})$

Then, you get that the measure of "S" rounded to the nearest tenth is:

$S=arctan(\frac{34.2}{20.5})\\\\S=59.1\°$

Answer 2

Answer:

59.1 °

Step-by-step explanation:

tan S = 34.2 / 20.5  

S = tan -1 (34.2 / 20.5)  

S = 59.1 ° Rounded to the nearest tenth!