Hey surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 150 feet from a Pilling that is directly across from a peer on the other side of the lake. From his transit, The angle between the pilling in the pier is 60° what is the distance between the pilling in the pier to the nearest foot

Question

Mathematics

Isabelle

14 July, 21:24

Hey surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 150 feet from a Pilling that is directly across from a peer on the other side of the lake. From his transit, The angle between the pilling in the pier is 60° what is the distance between the pilling in the pier to the nearest foot

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Answers (1)

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Diya Webster · Answer 1

Answer: 87 feet

Step-by-step explanation:

The angle between the pilling is 60°

The adjacent side of the right angle is 150

So let the distance between the pilling be y, that is opposite side.

Opposite / adjacent = tan (60°)

y / 150 = tan (60)

y * tan (60°) = 150

Divide both side by tan (60°)

y = 150 / tan (60°)

y = 150 / 1.7321

y = 87 feet