what are the answers and explain please ### Problem 9:A 30-foot long support wire for a 16-foot-high streetlight runs from the top corner of a building to a point on the ground, forming a straight line. The length of the wire from the top of the building to the top of the streetlight is 6 feet. How tall is the building?**Options:**- F. 16 ft.- G. 20 ft.- H. 32 ft.- I. 48 ft.**Explanation Diagram:**The diagram shows a right triangle formed by the building, the ground, and the support wire. The streetlight is part of the vertical side, with a height of 16 feet. The wire is the hypotenuse of the triangle, measuring 30 feet. A segment of 6 feet from the top of the building to the top of the streetlight is indicated.**Calculation:**To find the height of the building, you need to determine the vertical distance from the ground to the top of the building, using the Pythagorean theorem if necessary.### Problem 10:Given \( \overline{DE} \parallel \overline{BC} \), which proportion is justified by the image below?**Options:**- A. \( \frac{18}{24} = \frac{24}{8} \)- B. \( \frac{18}{6} = \frac{8}{24} \)- C. \( \frac{18}{24} = \frac{24}{32} \)- D. \( \frac{18}{6} = \frac{8}{24} \)**Diagram Explanation:**The diagram consists of a triangle \( \triangle ABC \) with line segment \( \overline{DE} \) parallel to base \( \overline{BC} \). The segments are labeled with their respective lengths: \( AD = 18 \), \( DE = 24 \), \( DC = 6 \), and \( CB = 8 \).**Mathematical Justification:**To find the correct proportion, use the properties of similar triangles. The segments create two smaller, similar triangles: \( \triangle ADE \) and \( \triangle ABC \). Use corresponding sides to establish the correct proportion.

Since you have asked multiple question, we will solve the first question for you as per our guide…

9) A 30-foot long support wire for a 16 foot-high streetlight runs from the top corner of a building to a point on the ground, forming a straight line. The length of the wire from the top of the building to the top of the street light is 6 feet. How tall is the building? F. 16 ft. G. 20 ft. H. 32 ft. I. 48 ft. Work: ||||||||||

9) A 30-foot long support wire for a 16 foot-high streetlight runs from the top corner of a building to a point on the ground, forming a straight line. The length of the wire from the top of the building to the top of the street light is 6 feet. How tall is the building? F. 16 ft. G. 20 ft. H. 32 ft. I. 48 ft. Work: ||||||||||

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

See similar textbooks