Question

Please help me with the questions

Answer 1

Explanation:

length x or opposite will be 12.6

Answer 2

x = 13

Explanation:

Right Triangles

In a right triangle, there is an internal angle of 90°. The other two must add up to 90°.

The trigonometric ratios are satisfied in a right triangle. The tangent ratio, for example, is defined as:

`\displaystyle \tan 35^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}`

The angle of 35° is adjacent to the side of length 18 and is opposite to the side of length x, thus:

`\displaystyle \tan 35^\circ=(x)/(18)`

Solving for x:

`x=18\tan 35^\circ`

This is the equation to solve. Now substitute the tangent for its value to get

x = 13