Two support wires are secured to the ground 12 m from the base of a main support of a circus tent. One wire makes an angle of 30° to the ground, and the other makes an angle of 45° to the ground. How much wire is needed, assuming an additional 2 m of wire is needed in total to secure all ends of the wires?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.4: The Pythagorean Theorem
Problem 15E: A guy wire 25 ft long supports an antenna at a point that is 20 ft above the base of the antenna....
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Two support wires are secured to the ground
12 m from the base of a main support of a circus tent. One wire makes an angle of 30° to the ground,
and the other makes an angle of 45° to the ground. How much wire is needed, assuming an
additional 2 m of wire is needed in total to secure all ends of the wires?

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