The intensity I produced by a light of power W at a distance x metres from the light is given by I = Two lights L, and L, of power W and 2W respectively, are positioned 30 metres apart. a Write down an expression for the combined intensity I, of L, and L2 at a point P which is x metres from L on the interval L‚L2. b Hence find the distance PL 1, correct to the nearest centimetre, so that the combined intensity of L, and L2 at P is minimised.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 38E
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The intensity I produced by a light of power W at a distance x metres from the light is given by I =
Two lights L, and L, of power W and 2W respectively, are positioned 30 metres apart.
a Write down an expression for the combined intensity I, of L, and L2 at a point P which is x metres
from L on the interval L‚L2.
b Hence find the distance PL 1, correct to the nearest centimetre, so that the combined intensity of L,
and L2 at P is minimised.
Transcribed Image Text:The intensity I produced by a light of power W at a distance x metres from the light is given by I = Two lights L, and L, of power W and 2W respectively, are positioned 30 metres apart. a Write down an expression for the combined intensity I, of L, and L2 at a point P which is x metres from L on the interval L‚L2. b Hence find the distance PL 1, correct to the nearest centimetre, so that the combined intensity of L, and L2 at P is minimised.
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