A tower 140 ft high stands on the water edge of a lake. From the top of the tower, the angle of depression of an object on the water's edge on the other side of the lake is 33.6°. What is the distance across the lake?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

Answer all. Thanks

1. A tower 140 ft high stands on the water edge of a lake. From the top of the tower, the
angle of depression of an object on the water's edge on the other side of the lake is 33.6°.
What is the distance across the lake?
2. A ship leaves a port and sails 4 hours on a course of 80° at 20 knots. Then the ship changes
to a course of 170°. And sails for 8 hours at 18 knots. After 12 hours, (a) what is the
distance of the ship from the port and (b) what is t he bearing from the port to the ship?
3. From the top of the building 60 ft high, the angle of elevation of the top of a vertical pole
is 14°. At the bottom of the building the angle of elevation of the top of the pole is 28°.
find (1) the height of the pole and (b) the distance of the pole from the building.
4. Point X is at top of a mountain. From a point Y on the ground, the angle of elevation of X
is 16.3°. From point Z on the same horizontal line with Y and the foot pf the mountain, the
angle of elevation of X is 28.7°. What is the height of the mountain if the distance between
Y and Z is 125m?
Transcribed Image Text:1. A tower 140 ft high stands on the water edge of a lake. From the top of the tower, the angle of depression of an object on the water's edge on the other side of the lake is 33.6°. What is the distance across the lake? 2. A ship leaves a port and sails 4 hours on a course of 80° at 20 knots. Then the ship changes to a course of 170°. And sails for 8 hours at 18 knots. After 12 hours, (a) what is the distance of the ship from the port and (b) what is t he bearing from the port to the ship? 3. From the top of the building 60 ft high, the angle of elevation of the top of a vertical pole is 14°. At the bottom of the building the angle of elevation of the top of the pole is 28°. find (1) the height of the pole and (b) the distance of the pole from the building. 4. Point X is at top of a mountain. From a point Y on the ground, the angle of elevation of X is 16.3°. From point Z on the same horizontal line with Y and the foot pf the mountain, the angle of elevation of X is 28.7°. What is the height of the mountain if the distance between Y and Z is 125m?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning