A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 30,000 ft. The pilot would like to estimate her distance from the Gateway Arch. S finds that the angle of depression to a point on the ground below the arch is 25°. (Round your answers to the nearest foot.) (a) What is the distance between the plane and the base of the arch? ft (b) What is the distance between a point on the ground directly below the plane and the base of the arch?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 75RE
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A plane is flying within sight of the Gateway Arch in St. Louis. Missouri, at an elevation of 30.000 ft. The pilot would like to estimate her distance from the Gateway Arch. She
finds that the angle of depression to a point on the ground below the arch is 25°. (Round your answers to the nearest foot.)
(a) What is the distance between the plane and the base of the arch?
ft
(b) What is the distance between a point on the ground directly below the plane and the base of the arch?
ft
Transcribed Image Text:A plane is flying within sight of the Gateway Arch in St. Louis. Missouri, at an elevation of 30.000 ft. The pilot would like to estimate her distance from the Gateway Arch. She finds that the angle of depression to a point on the ground below the arch is 25°. (Round your answers to the nearest foot.) (a) What is the distance between the plane and the base of the arch? ft (b) What is the distance between a point on the ground directly below the plane and the base of the arch? ft
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