A surveyor is trying to measure the distance betwcen two points on opposite sides of a lake.In order to do so, she picks a tree on the edge of the lake to use as her marking point on the far side, thenshe places a marker 12 feet away from the edge of the lake on her side. Finally, she sets up her surveyingequipment 64 feet away from her marker, making sure that the imaginary line between her equipment andher marker makes a 90 degree angle to the line between her marker and the tree on the other side of thelake.TREEIS°12 FEETraRker64 FEETa. The surveyor measures the azimuth angle from north to the tree on the other side as 15 degrees.What is the triangle's interior angle in that comer? What is the angle at the tree?b. Using cosine, find the distance of the hypotenuse.c. Using sine, find the distance between the surveyor's marker and the tree on the opposite side ofthe lake. Taking into account that the marker was set up 12 feet away from the edge of the lake, how far isthe distance between the edges of the lake between the tree and the marker?

Given Data: The distance between the edge of the lake (LE2) and the marker is: a=12 ft The distance…

A surveyor is trying to measure the distance between two points on opposile In order to do so, she picks a tree on the edge of the lake to use as her marking point on the far side, then she places a marker 12 feet away from the edge of the lake on her side. Finally, she sets up her surveying cquipment 64 feet away from her marker, making sure that the imaginary line between her equipment and her marker makes a 90 degree angle to the line between her marker and the tree on the other side of the * TREE lake. 12 FEET trARKeR 64 FEET a The surveyor measures the azimuth angle from north to the troe on the other side as 15 degrees. What is the triangle's interior angle in that cormer? What is the angle at the tree? b. Using cosine, find the distance of the hypotenuse. c. Using sine, find the distance between the surveyor's marker and the tree on the opposite side of the lake. Taking into account that the marker was set up 12 feet away from the edge of the lake, how far is the distance between the edges of the lake between the tree and the marker?

A surveyor is trying to measure the distance between two points on opposile In order to do so, she picks a tree on the edge of the lake to use as her marking point on the far side, then she places a marker 12 feet away from the edge of the lake on her side. Finally, she sets up her surveying cquipment 64 feet away from her marker, making sure that the imaginary line between her equipment and her marker makes a 90 degree angle to the line between her marker and the tree on the other side of the * TREE lake. 12 FEET trARKeR 64 FEET a The surveyor measures the azimuth angle from north to the troe on the other side as 15 degrees. What is the triangle's interior angle in that cormer? What is the angle at the tree? b. Using cosine, find the distance of the hypotenuse. c. Using sine, find the distance between the surveyor's marker and the tree on the opposite side of the lake. Taking into account that the marker was set up 12 feet away from the edge of the lake, how far is the distance between the edges of the lake between the tree and the marker?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

A surveyor is trying to measure the distance betwcen two points on opposite sides of a lake.
In order to do so, she picks a tree on the edge of the lake to use as her marking point on the far side, then
she places a marker 12 feet away from the edge of the lake on her side. Finally, she sets up her surveying
equipment 64 feet away from her marker, making sure that the imaginary line between her equipment and
her marker makes a 90 degree angle to the line between her marker and the tree on the other side of the
lake.
TREE
IS°
12 FEET
raRker
64 FEET
a. The surveyor measures the azimuth angle from north to the tree on the other side as 15 degrees.
What is the triangle's interior angle in that comer? What is the angle at the tree?
b. Using cosine, find the distance of the hypotenuse.
c. Using sine, find the distance between the surveyor's marker and the tree on the opposite side of
the lake. Taking into account that the marker was set up 12 feet away from the edge of the lake, how far is
the distance between the edges of the lake between the tree and the marker?

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