Answer:
17.11 meters
Step-by-step explanation:
You are using trigonometry in this problem.
The height of the flagpole represents the side <u><em>opposite</em></u> the given angle.
The base of the triangle is given as 19 meters and represents the side <u><em>adjacent</em></u> 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: <em>tan(42 degrees) = h / 19</em>
This means that <em>your answer = 19 * tan(42) = 17.11</em> meters
Answer:
5,040 cars
Step-by-step explanation:
Each truck weighs 7.2 tons, and there are already 480 trucks loaded. This means that the cargo ship is currently carrying 3,456 tons.:
480 x 7.2 = 3,456
The limit is 21,600 tons, so 21,600 - 3,456 = 18,144.
Divide the remaining capacity by how much a car weighs:
18,144 / 3.6 = 5,040