Question

Find the missing side. Round to the nearest tenth. 10 33° Х X = ?

Answer 1

Given:

A right angle triangle with legs x and 10.

The angle opposite to the side with measure 10 is 33 degrees.

To find:

The value of x.

Solution:

We know that, in a right angle triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

In the given triangle,

$\tan 33^\circ=\dfrac{10}{x}$

$x=\dfrac{10}{\tan 33^\circ}$

$x=15.39864$

$x\approx 15.4$

Therefore, the value of x is 15.4 units.