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=(Perpendicular)/(Base)`

In the given triangle,

`\tan 33^\circ=(10)/(x)`

`x=(10)/(\tan 33^\circ)`

`x=15.39864`

`x\approx 15.4`

Therefore, the value of x is 15.4 units.