Emir is standing in a treehouse and looking down at a swingset in the yard next door. the angle of depression from emir's eyeline to the swingset is 33.69°, and emir is 10 feet from the ground. how many feet is the base of the tree from the swingset? round your answer to the nearest foot.

Respuesta :

The distance from the base of the tree from the swing sets is 15 ft

The situation forms a right angle triangle.

How to find the distance from the base of the tree to the swing set?

The opposite side of the triangle formed is the distance of Emir from the ground.

Therefore, the distance from the base of the tree from the swing sets is the adjacent side of the triangle.

Hence,

tan 33.69 = opposite / adjacent

tan 33.69 = 10 / x

x = 10 / tan 33.69

x = 10 / 0.66666496431

x = 10 / 0.66666496431

x = 15.0000038265

x = 15 ft

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