Question

Find the value for the side marked below.Round your answer to the nearest tenth.10у25°y = [?]

Answer 1

We are looking at the value of y, which is the opposite side based on the angle of 25 degrees. The length of the hypotenuse is given in the problem. To solve for the value of y, we can use the sine function wherein

`\sin \theta=(opposite)/(hypotenuse)`

Substitute the given on the problem on the equation above, we can rewrite the equation as

`\sin 25=(y)/(10)`

Solve for y, we get

`\begin{gathered} y=(\sin 25)(10) \\ y=4.2 \end{gathered}`

The value for the side marked as y is equal to 4.2.