The height of a tower is 10 m. What is the length of its shadow when Sun’s altitude is 45°?
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Answer:
the length of its shadow is also 10m
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Here we have to calculate the length of the shadow using the trigonometric ratio and functions.
Explanation:
So what we are given is as follows:-
Height of the tower = 10 m.
Angle of elevation = 45 Deg.
Let the length of the shadow be x m.
So adjacent side = x m.
Opp. Side = 10 m (height of the tower).
Now using the ratio Tan ∅ = Opp. Side / adj. side (when ∅=45 Deg.
We have tan 45 = opp. Side / adj. side
Tan 45 = 10 m / x m.
But tan 45 = 1,
So, we have 1 = 10 m / x m
Or we can say that x = 10 m.
So the length of the shadow will also be equal to 10 m.
(figure attached).
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