Calculate the length of the opposite side of a right triangle with a hypotenuse of 16 inches and angle of 25 formed at the intersection between the adjacent side and the hypotenuse

6.76 in

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle  formed at the intersection between the adjacent side and the hypotenuse , and the opposite side is x :

Replacing with the values given:  

Sin 25 = x/ 16  

Solving for x  

sin25 (16) =x  

x= 6.76 in

Feel free to ask for more if needed or if you did not understand something.  

add an image

step-by-step explanation: