If the altitude of the sun is at 60°, then the height of the vertical tower that will cast a shadow of length 30 m is
A. 30√3m
B. 15 m
C. 30/√3m
D.15/√2m
Answers
Answered by
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A)30 root 3
apply tan theta value
you will get answer
Answered by
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A. 30√3m
Step-by-step explanation:
We find that ABC is a triangle with AB as the hypotenuse and angle C is 90 degrees. Given that angle B is 60 degrees. Let x be the height of the tower. Length of shadow is BC = 30m
Height of the tower = opposite side
AC = opposite = height of tower = x
AB = adjacent = shadow = 30m
tan 60 = opposite / adjacent
3 = x/30
Therefore x = 30√3 m
Option A is the answer.
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