Question

Hi, i tried to solve this problem, but I can't manage to do it, can you help me ?

Answer 1

Length of y is 25.2.

Given:

The angle is given as 35 degree and a side is 36.

The objective is to find the length of the side y.

In a right angled traingle, the side opposite to the given angle is called oppotise side, the other smaller side is called adjacent side and the longer side is called hypotenuse.

Here, opposite side is y and adjacent side is 36.

Then, the relationship between oppsote and adjacent can be calculated using the trigonometric ratio of tan theta.

`\begin{gathered} \tan \theta=(opposite)/(adjacent) \\ \tan 35^0=(y)/(36) \\ y=36\cdot\tan 35^0 \\ y=36(0.7) \\ y=25.2 \end{gathered}`

Hence, the length of y is 25.2.