rio is standing on top of a building and notices a turtle walking towards the building. He notices that the angle of depression from the top of the building to the turtle’s position is 48◦. The turtle then walks 120 feet closer to the building. Mario now notices that the angle of depression is now 68◦. Determine that the height of the building is exactly 120 tan 68◦ tan 48◦ h= tan68◦−tan48◦ ft.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.8: Applications And Models
Problem 4ECP: From the time a small airplane is 100 feet high and 1600 ground feet from its landing runway, the...
icon
Related questions
Question

Mario is standing on top of a building and notices a turtle walking towards the building. He notices that the angle of depression from the top of the building to the turtle’s position is 48◦. The turtle then walks 120 feet closer to the building. Mario now notices that the angle of depression is now 68◦. Determine that the height of the building is exactly

120 tan 68◦ tan 48◦ h= tan68◦−tan48◦ ft. 

Expert Solution
Step 1

Topic = Trigonometric ratios

Height of the building is 240 feets.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning