Question

Find the value of x. Round to the
nearest tenth.
х
37
6
x = [?]

Answer 1

Given:

A figure of a right triangle with legs x and 6.

The measure of angle opposite to the side x is 37 degrees.

To find:

The value of x.

Solution:

In a right angle triangle,

`\tan \theta =(Perpendicular)/(Base)`

In the given triangle,

`\tan 37^\circ =(x)/(6)`

`6* \tan 37^\circ =x`

`6* (0.753554) =x`

`4.521324 =x`

Round the value to the nearest tenth.

`x=4.5`

Therefore, the value of x is 4.5 units.