Concept explainers
(a)
To sketch:the diagram of the situation of air traffic safety.
(a)
Answer to Problem 41E
Explanation of Solution
Given:
The architects design the angle of elevation from a point on the ground to the top of the
Tower is
The angle of the elevation is
Concept used:
The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
Calculation:
Let us suppose that owner of an office building
Suppose that the angle of the elevation from the point
The sketch of the above situation is:
Hence, the sketch is drawn.
(b)
To find:whether the city allowed the building of this tower and the maximum allowed height of any structure is
(b)
Answer to Problem 41E
It is not possible to build the tower on the building.
Explanation of Solution
Given:
The architects design the angle of elevation from a point on the ground to the top of the
Tower is
The angle of the elevation is
Concept used:
The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
Angle of elevation formula:
The formula for finding the angle of elevation depends on knowing the information such as the measures of the opposite, hypotenuse, and adjacent side to the right angle. If the distance from the object and height of the object is given, then the formula for the angle of the elevation is given by:
Tangent of the angle of elevationis the ratio of the height of the object to the distance from the object.
Calculation:
First calculate the height of the building from the triangle
From the triangle
From equation
Since the height of the building is
Hence, it is not possible to build the tower on the building.
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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