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

Find the missing side. Round to the nearest tenth. 10 33° Х X = ?-example-1
User MattYao
by
8.4k points

1 Answer

5 votes

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.

User Wibberding
by
9.1k points

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