Answer:
17.11 meters
Step-by-step explanation:
You are using trigonometry in this problem.
The height of the flagpole represents the side opposite the given angle.
The base of the triangle is given as 19 meters and represents the side adjacent to the given angle.
Out of the main trigonomentric functions (sine, cosine, and tangent), only tangent uses both the opposite and adjacent sides.
Tan(angle) = opposite / adjacent
If we plug in what we know into that equation: tan(42 degrees) = h / 19
This means that your answer = 19 * tan(42) = 17.11 meters
