Question

Find the indicated side length to the nearest thousandth.

Answer 1

Given:

In a right angle triangle, base is 16, perpendicular height is x and the angle of elevation is 10 degrees.

To find:

The value of x.

Solution:

In a right angle triangle,

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

In given triangle, using this formula, we get

`tan (10^\circ)=(x)/(16)`

`17633=(x)/(16)`

Multiply both sides by 16.

`0.17633* 16=x`

`2.82128=x`

Round to the nearest thousandth.

`x\approx 2.821`

Therefore, the value of x is 2.821 units.