Let's draw a picture of our problem:
From our figure we have the following right triangle:
so, in order to get the altitute (height) of our isosceles triangle, denoted by h, we can use a trigonometric function .
If we apply the tangent function, we have
[tex]\tan (41)=\frac{h}{19}[/tex]
then, by moving 19 to the left hand side, we get
[tex]19\cdot\tan (41)=h[/tex]
which gives
[tex]\begin{gathered} h=19\cdot\tan (41)\text{ cm} \\ h=19\cdot(0.8693)\text{ cm} \\ h=16.52\text{ cm} \end{gathered}[/tex]
Therefore, by rounding down to the nearest tenth, the altitude is equal to 16.5 centimeters
