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,

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

In given triangle, using this formula, we get

$tan (10^\circ)=\dfrac{x}{16}$

$17633=\dfrac{x}{16}$

Multiply both sides by 16.

$0.17633\times 16=x$

$2.82128=x$

Round to the nearest thousandth.

$x\approx 2.821$

Therefore, the value of x is 2.821 units.