A surveyor wanted to determine the height of a mountain. To do​ this, she determined that the angle of elevation from point A to the top of the mountain is 33​°. She then drove 1500 meters toward the mountain to point B where she determined that the angle of elevation to the top of the mountain was 42​°. How tall is the​ mountain? The height of the mountain is approximately ? m. Do not round until the final answer. Then round to the nearest whole number as​ needed.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question

A surveyor wanted to determine the height of a mountain. To do​ this, she determined that the angle of elevation from point A to the top of the mountain is 33​°. She then drove 1500 meters toward the mountain to point B where she determined that the angle of elevation to the top of the mountain was 42​°. How tall is the​ mountain?

The height of the mountain is approximately ? m.

Do not round until the final answer. Then round to the nearest whole number as​ needed.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning