Concept explainers
a.
Label the known and unknown quantities.
a.

Answer to Problem 24E
Explanation of Solution
Given information:
The height of an outdoor basketball backboard is
Draw a right triangle that gives a visual representation of the problem. Label the known and unknown quantities.
Calculation:
Let us consider the height of the basketball backboard as
Therefore the given problem can be represented as the right angled triangle.
The figure showing the basketball backboard and its shadow are shown below. The height of the backboard will be taken as
We will assume the base angle of the triangle as
Hence , the known and unknown quantities are
b.
Write an equation involving the unknown angle of elevation.
b.

Answer to Problem 24E
Explanation of Solution
Given information:
The height of an outdoor basketball backboard is
Use a trigonometric function to write an equation involving the unknown angle of elevation.
Calculation:
Let us consider the height of the basketball backboard as
Therefore the given problem can be represented as the right angled triangle.
We will use the fact that
Now to find the angle of elevation
Hence, the unknown angle of elevation is
c.
Find the angle of elevation.
c.

Answer to Problem 24E
Explanation of Solution
Given information:
The height of an outdoor basketball backboard is
Find the angle of elevation.
Calculation:
Let us consider the height of the basketball backboard as
Therefore the given problem can be represented as the right angled triangle
As calculated in part (b), we can say that the angle of elevation to the sun is given by
Hence,
Chapter 4 Solutions
EBK PRECALCULUS W/LIMITS
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