Question

What is the value of x

Answer 1

Question:

Solution:

Considering the data of the problem, we can use the following trigonometric identity:

`\sin (x)\text{ = }\frac{opposite\text{ side}}{hypotenuse}\text{ = }(15)/(26)`

this is equivalent to:

`\sin (x)\text{ = }(15)/(26)=\text{ 0.576}\approx0.58`

Now, applying the inverse function of the sine function, we obtain:

`x=\sin ^(-1)(\sin (x))\text{ =}\sin ^(-1)(0.58)\text{ = 35.234}`

then, we can conclude that the correct answer is:

`x=\text{35.234}`