Question

Fill in the blank. In the triangle below, x = decimal places. Round your answer to two لم 35

Answer 1

Right Triangles

Right triangles can be identified because they have one internal angle of 90°.

Right triangles have two shorter sided called the legs and one larger side called the hypotenuse.

The relationship between the side lengths and the angles are called the trigonometric ratios.

For example, the angle of 42° as shown in the figure has one adjacent side (35) one opposite side (x) and the hypotenuse (y).

It's required to find the value of x, knowing the value of the side (45) and the angle 42°.

The trigonometric ratio that relates the opposite leg and the adjacent leg is called the tangent.

`\displaystyle\tan \theta=\frac{\text{opposite leg}}{\text{adjacent leg}}`

Substituting:

`\displaystyle\tan 42^o=(x)/(35)`

Solving for x:

x = 35 tan 42°

Calculating:

x = 35 * 0.9004

x = 31.51