12. From the top of a tower, the angle of depression to a stake on the ground is 72°. The top of the tower is 80 feet above ground. How far is the stake from the foot of the tower?

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°.
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#12 word problem
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For each word problem, draw a diagram, write the appropriate equation/proportion, and then solve. Round lengths
to the nearest hundredth and measures of angles to the nearest degree.
12. From the top of a tower, the angle of depression to a stake on the ground is 72°. The top of the tower is 80
feet above ground. How far is the stake from the foot of the tower?
A tree 40 feet high casts a shadow 58 feet long. Find the measure of the angle of elevation from the ground
to the sun.
13.
14. A ladder leaning against a house makes an angle of 60° with the ground. The foot of the ladder is 7 feet from
the foundation of the house. How long is the ladder?
15. An air force pilot must descend vertically 1500 feet over a horizontal distance of 9000 feet to
land smoothly on an aircraft carrier. What is the plane's angle of descent(depression)?
16. Find the angle of depression if you are standing
Transcribed Image Text:t y е r W q tab d f a For each word problem, draw a diagram, write the appropriate equation/proportion, and then solve. Round lengths to the nearest hundredth and measures of angles to the nearest degree. 12. From the top of a tower, the angle of depression to a stake on the ground is 72°. The top of the tower is 80 feet above ground. How far is the stake from the foot of the tower? A tree 40 feet high casts a shadow 58 feet long. Find the measure of the angle of elevation from the ground to the sun. 13. 14. A ladder leaning against a house makes an angle of 60° with the ground. The foot of the ladder is 7 feet from the foundation of the house. How long is the ladder? 15. An air force pilot must descend vertically 1500 feet over a horizontal distance of 9000 feet to land smoothly on an aircraft carrier. What is the plane's angle of descent(depression)? 16. Find the angle of depression if you are standing
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