9) In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. The projection of these figures get larger or smaller and ratio of dimensions change depending on the distance of the spotlight from the wall. One of these figures is a right triangle with a base of 15 ft. If the acute angle connected to the base increases at a rate of 3 degrees per second, how fast is the area increasing when the angle is 25 degrees?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 42AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
icon
Related questions
Question
9) In a local art museum, a moving spotlight projects geometric figures on the wall in front
of it. The projection of these figures get larger or smaller and ratio of dimensions change
depending on the distance of the spotlight from the wall. One of these figures is a right
triangle with a base of 15 ft. If the acute angle connected to the base increases at a rate
of 3 degrees per second, how fast is the area increasing when the angle is 25 degrees?
Transcribed Image Text:9) In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. The projection of these figures get larger or smaller and ratio of dimensions change depending on the distance of the spotlight from the wall. One of these figures is a right triangle with a base of 15 ft. If the acute angle connected to the base increases at a rate of 3 degrees per second, how fast is the area increasing when the angle is 25 degrees?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell