a cctv camera.is placed on the top of a straight 12mhigh pole in such a way that traffic can be seen beyond 13m of line of sight of it .find the distance from of the foot of pole beyond which the traffic is visible
Answers
explanation is in the pic.
Given : a CCTV camera is placed on the top of a 12 m high pole in such a way that traffic can be seen beyond 13 meter of line of sight of it .
To find : the area of the green patch around the pole
Solution:
Line of sight of camera = 13 m is hypotenuse
12 m high pole is perpendicular
Base = ?
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
=> Base² = 13² - 12²
=> Base² = (13 + 12)(13 - 12)
⇒ Base² = (25)(1)
=> Base = 5
Area of triangle = (1/2) x Base x Height
= (1/2) * 5 * 12
= 30 m²
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