A 148-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation to the top of the antenna is 30.5°, while the angle of elevation to the bottom of the antenna from the same point is 22.5°. How tall is the building? (Round your answer to the nearest whole number.)

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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A 148-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation to the top of the antenna is 30.5°, while the angle of elevation to the bottom of the antenna from the same point is 22.5°. How tall is the building? (Round your answer to the nearest whole number.)

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