In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.

To determine the value of x, we determine the value of the tan of the given triangle.

To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.

$tan A = \frac{oppositeside}{adjacent side}.$

Step 2:

The length of the opposite side = 26 units.

The length of the adjacent side = x units.

$tan A = \frac{oppositeside}{adjacent side}, tan 40 = 0.8390, tan A = \frac{26}{x} .$

$0.8390 = \frac{26}{x} , x = \frac{26}{0.8390} = 30.9892.$

So x measures 30.9892 units.

6 0

3 years ago

Find the value of x.

Tatiana [17]

$\large \mathfrak{Solution : }$

The given pair of angles are vertical opposite angle pair so, they are equal. i.e

$(x + 90)\degree = 4x\degree$

$(4x - x) \degree= 90\degree$

$3x\degree = 90\degree$

$x\degree = \dfrac{90\degree}{3\degree}$

$x\degree = 30\degree$

8 0

2 years ago

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