oo0 TMobile LTE 1148 AM Touch to return to call 0807 courses

oo0 T-Mobile LTE 11:48 AM Touch to return to call 08:07 courses.apexlearning.com nometry SUBMIT Question 1 of 25 Multiple Choice: Please select the best answer and click \"submit.\" The angle of elevation to the top of a 30-story skyscraper is measured to be 3° from a point on the ground 2,000 feet from the building. What is the height of the skyscraper to the nearest hundredth foot? O A. 285.09 feet OB. 104.67 feet O C. 104.82 feet O D. 66.58 feet Page

Solution

angle of elevation = 3 degrees

distance between point on ground and building = 2000 feet

therefore applying tan theta formula to find height of the skyscraper

tan 3 degrees = height / 2000

height = tan 3 * 2000

height of skyscraper = 104.82 feet (option c )