Hello I could really use some help with this question please

Question

asked Aug 25, 2023 69.2k views

1 Answer

Gordon Truslove · Answer 1 · 2023-08-28T23:03:22+0000

Step-by-step explanation

The appropriate trigonometric ratio to obtain the value of x would be the sin ratio:

$\sin\alpha=\frac{Opposite\text{ cathetus}}{Hypotenuse}$

Where α = 55°, Opposite cathetus= 25 and Hypotenuse=x

Substituting terms:

$\sin(55)=(25)/(x)$

Multiplying both sides by x:

$x\sin(55)=25$

Isolating x:

$x=(25)/(\sin(55))$

In conclusion, the appropriate option is OPTION D.