Alex is designing and installing a sign for her shop and needs to determine the vertical length of the sign, but she can’t reach it with her ladder in order to measure it. She stands across the street, 30 feet from the base of the building. From there, she measures that the angle of elevation to the top of the sign is 44° and the angle of elevation to the bottom of the sign is 33°. Help her use trigonometry to find the vertical length of her sign.

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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Alex is designing and installing a sign for her shop and needs to determine the vertical length of
the sign, but she can’t reach it with her ladder in order to measure it. She stands
across the street, 30 feet from the base of the building. From there, she
measures that the angle of elevation to the top of the sign is 44° and the angle of
elevation to the bottom of the sign is 33°. Help her use trigonometry to find the vertical length of her sign.

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