Concept explainers
(a)
To find: The angle of elevation of the sun, if the shadow of the tower is 2100 feet long at a certain time.
(a)
Answer to Problem 14CFU
Explanation of Solution
Given information: National Monuments: In 1906, Teddy Roosevelt designated Devils Tower National Monument in northeast Wyoming as the first national monument in the United States. The tower rises 1280 feet above the valley of the Bell Fourche River.
Calculation:
This will be a tangent problem as the sketch shows. We are looking for an angle which means it is an arc function problem. In this case we know the opposite and adjacent sides so it is a tangent problem.
(b)
To find: How long is the shadow when the angle of elevation of the sun is
(b)
Answer to Problem 14CFU
Explanation of Solution
Given information: National Monuments: In 1906, Teddy Roosevelt designated Devils Tower National Monument in northeast Wyoming as the first national monument in the United States. The tower rises 1280 feet above the valley of the Bell Fourche River.
Calculation:
If the angle of elevation to the sun is
So this is a tan problem.
(c)
To find: How far is the hiker from the base of Devils Tower, if a person at the top of Devils Tower sees a hiker at an angle of depression of
(c)
Answer to Problem 14CFU
Explanation of Solution
Given information: National Monuments: In 1906, Teddy Roosevelt designated Devils Tower National Monument in northeast Wyoming as the first national monument in the United States. The tower rises 1280 feet above the valley of the Bell Fourche River.
Calculation:
Remember the angle of depression is from the horizontal down. The angle in our triangle is the complement of that or
Chapter 5 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
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