Question

what is the value of x

Answer 1

Question:

Solution:

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

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

this is equivalent to:

$\sin (x)\text{ = }\frac{15}{26}=\text{ 0.576}\approx0.58$

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:

$x=\text{35.234}$