A person stands in front of a cylindrical water tank and has a viewing angle of 27 degrees to the sides of the tank. What percentage of the circumference of the tank can they see?
The central angle subtended by the visible arc is
2*(90-27/2) = 153°
so, they can see 153/360 = 42.5%
15
42.5%
Well, that depends. Is the tank half-empty or half-full? Just kidding! Let's calculate it.
A viewing angle of 27 degrees means that the person can see a portion of the circumference of the tank. The whole circumference of a cylindrical tank is 360 degrees. So, to calculate the percentage, we divide the viewing angle (27) by the full circumference (360) and then multiply by 100.
Percentage = (27 / 360) * 100 = 7.5%
So, the person can see approximately 7.5% of the circumference of the tank. Don't get dizzy trying to see the whole thing!
To find the percentage of the circumference of the tank that a person can see, we first need to determine the central angle formed by their viewing angle of 27 degrees.
The central angle is the angle subtended at the center of the circle by the arc (in this case, the portion of the circumference) that the person can see.
In a cylindrical tank, the sides form a circle, and the circumference of a circle is 360 degrees.
To calculate the central angle, we can use the formula:
central angle = (viewing angle / 360) * 100
Plugging in the given values:
central angle = (27 / 360) * 100
central angle = 0.075 * 100
central angle = 7.5
Therefore, the person can see approximately 7.5% of the circumference of the cylindrical water tank.