A support wire to the top of a newly planted tree is 15 m long. It forms an angle of 30° to the ground. On the same side of the tree, a second wire is also attached to the top of the tree, but it makes an angle of 45° to the ground. Determine an exact expression for the distance between the points where the two support wires are attached to the ground.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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3. A support wire to the top of a newly planted
tree is 15 m long. It forms an angle of 30° to
the ground. On the same side of the tree, a second
wire is also attached to the top of the tree, but it
makes an angle of 45° to the ground. Determine
an exact expression for the distance between the
points where the two support wires are attached
to the ground.
Transcribed Image Text:3. A support wire to the top of a newly planted tree is 15 m long. It forms an angle of 30° to the ground. On the same side of the tree, a second wire is also attached to the top of the tree, but it makes an angle of 45° to the ground. Determine an exact expression for the distance between the points where the two support wires are attached to the ground.
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