How do I solve this I am getting stuck help would be appreciated

Question

asked Jun 21, 2023 45.3k views

1 Answer

Arun Kumaresh · Answer 1 · 2023-06-25T21:15:06+0000

Step-by-step explanation

Since this is a right triangle, we can compute the value of x by applying the trigonometric ratio, as shown as follows:

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

Plugging in the terms:

$\sin x=\frac{Opposite\text{ cathetus}}{\text{Hypotenuse}}=(7)/(9.4)$

Computing the fraction:

$\sin x=(7)/(9.4)=(35)/(47)$

Applying sin^-1 to both sides:

$x=\sin ^(-1)((35)/(47))$

Computing the argument:

$x=48.131693\text{ degre}es$

Rounding to the nearest tenth:

$x=48.1\text{ degre}es$

In conclusion, the value of x is 48.1 degrees