The distance from the base of the tree to the swing set is 15 ft
The situation forms a right angle triangle.
Right angle triangle is a triangle that has one of its side as 90 degree.
The distance of Emir from the ground is 10 feet and it the opposite side of the triangle.
The distance of the base of the tree from the swing set is the adjacent side. Therefore, using trigonometric ratio,
tan 33.69 = opposite / adjacent
tan 33.69° = 10 / a
cross multiply
a tan 33.69 = 10
a = 10 / tan 33.69
a = 10 / 0.66666496431
a = 15.000038303
a = 15 feet
Therefore, the distance from the base of the tree to the swing set is 15 ft
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