19. The ratio of the length of a vertical rod and the length of its shadow is 1:13.
Find the angle of elevation of the sun at that moment?
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Answers
Step-by-step explanation:
MATHS
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Asked on April 30, 2020 by
Roshilla Hatzade
The ratio of the length of a vertical rod and the length of its shadow is 1:
3
. Find the angle of elevation of the sun at that moment ?
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ANSWER
Given :-
l(BC)
l(AB)
=
3
1
now, angle of elevation, ∠ACB=θ
now, tanθ=tan(∠ACB)=
BC
AB
=
3
1
⇒tan
θ=(
3
1
)
=tanθ=(tan
6
π
)
⇒θ=
6
π
∴ The angle of elevation =
6
π
=30
∘
Step-by-step explanation:
Given:
The ratio of the length of the rod : Length of its shadow = 1 : 13
To Find:
The angle of elevation
Explanation:
The rod stands perpendicular (90 degrees) to the ground.
The length of the rod will be the height (Opposite).
The length of the shadow will be the length (Adjacent).
Using the rule, tan θ = opposite/adjacent, we can find θ.
Solution:
Find the angle of elevation:
tan θ = opposite/adjacent
tan θ = 1/13
θ = tan⁻¹ (1/13)
θ = 4.4º
Answer: The angle of elevation is 4.4º
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