Length of the shadow of a person is x when the angle of elevation is 45.if the length of shadow increases by
Answers
new angle of elevation = 30°
Step-by-step explanation:
Complete Question is :
if length of shadow increases by (√3 - 1)x then What is the angle of elevation
Tan 45 = Height of person/Length of Shadow
=> 1 = Height of person/x
=> Height of person = x
length of shadow increases by (√3 - 1)x
=> Length of Shadow = x + (√3 - 1)x = √3x
Tan (new angle of elevation) = Height of Person / New length of shadow
=> Tan (new angle of elevation) = x/√3x
=> Tan (new angle of elevation) = 1/√3
=> Tan (new angle of elevation) = Tan 30°
new angle of elevation = 30°
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