2 Answers

Ryane · Answer 1 · 2022-05-16T04:07:15+0000

Answer:

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

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