I need help with this answer. ### Problem Description:A girl is standing on a horizontal surface looking at the top of a vertical building. The distance between the girl and the building is 200 feet. The angles of elevation and depression from the girl to the top and bottom of the building are 22° and 61°, respectively.### Illustration Explanation:The image shows a girl standing on a horizontal platform, 200 feet away from a building. There are two lines of sight:1. From the girl to the top of the building, making an angle of elevation of 22°.2. From the girl to the bottom of the building, making an angle of depression of 61°.These two lines of sight form two right triangles with the distance between the girl and the building as the adjacent side (200 feet).### Multiple Choice Question:Based on the given information, determine the approximate height of the building.a. about 462 feet tall. b. about 472 feet tall. c. about 442 feet tall. d. about 452 feet tall. ### Solution Approach:To determine the height of the building, apply trigonometric principles involving the tangent of the given angles. This involves two steps:1. Calculate the height from the girl's eye level to the top of the building using the angle of elevation (22°).2. Calculate the height from the girl's eye level to the bottom of the building using the angle of depression (61°).3. Sum these heights to find the total height of the building.Detailed calculations:- Using the angle of elevation (22°): - Height to top of the building = \( 200 \times \tan(22^\circ) \)- Using the angle of depression (61°): - Depth to base (below the girl’s eye level) = \( 200 \times \tan(61^\circ) \)Total height of the building = Sum of these two calculated distances.

Name: I need help with this answer. ### Problem Description:A girl is standi
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Description: I need help with this answer. ### Problem Description:A girl is standing on a horizontal surface looking at the top of a vertical building. The distance between the girl and the building is 200 feet. The angles of elevation and depression from the gi

Answered: Image /qna-images/answer/3801fd1f-9bd5-48a4-9a17-c8ade7635150.jpg

Answered: 220 61° O a about 462 feet tall. about…

Math

Geometry

220 61° O a about 462 feet tall. about 472 feet tall. about 442 feet tall. about 452 feet tall.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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