Question

for traffic control ,a CCTV camera is fixed on a 8m straight pole . the camera can see 17 m distance sight line from the top . find the area visible by the camera around the pole??​

Answer 1

Step-by-step explanation:

it will be in point 18m and 80cm

Answer 2

Required Solution:-

[See the Diagram attached above ! ]

• Height of Straight Pole, OY = 8 m
• Distance from which forward traffic can be seen from the line of sight, XY = 10m

To Find:-

• Radius of the circular path formed by the shadow around the pole, OX = ?

• In the triangle XOY let us apply Pythagoras Theorem to find OX,

Perpendicular² + Base² = Hypotenuse²

• OA² + OX² = XY²
• 8² + OX² = 10²
• OX² = 10² - 8²
• OX² = 100 - 64
• OX² = 36
• OX = √36
• OX = 6

The radius of the circular path formed by the shadow around the pole is OX i.e. 6 m.

Now, we have to find out the area of the circular path formed by shadow around the pole.

Area of circle = π r²

whereas,

• π = 3.14
• r = OX = 6 m
• Area of circular path = π r² = 3.14 * 6² = 3.14 * 36 = 113.04 m²

The area of circular path formed by shadow around the pole is 113.04 m²

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