Two kites are stuck on the same spot on a tree. The angle of elevation of kite 1 to the tree from the ground at point A is 53° . If the length of the kite 2 string from the ground (say point B ) is 12 root 2 ft , find theta if given AB = 3 ft.
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Explanation:
Two kites are stuck on the same spot on a tree.
The angle of elevation of kite 1 to the tree from the ground at point A is 53° .
The length of the kite 2 string from the ground (say point B ) is 12 root 2 ft.
To find:
The angle theta if given AB = 3 ft.
Solution:
Consider the attached figure, while going through the following steps.
From figure it's clear that,
cos ∅ = AB / 12√2
⇒ cos ∅ = 3 / 12√2
⇒ cos ∅ = 1 / 4√2
⇒ cos ∅ = 0.17677
⇒ ∅ = cos^-1 (0.17677)
∴ ∅ = 79.81°
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