Concept explainers
To calculate: The sides and angle measure of the right angled triangle where
Answer to Problem 65E
The triangle along with sides and acute angles is,
Explanation of Solution
Given information:
The right angle triangle where
Formula used:
The trigonometric ratios for a right angle triangle are defined as,
Calculation:
Consider the right angle triangle
Observe that the length of hypotenuseis 4.5 units.
Label the length of opposite side of the triangle as b and adjacent side as a.
Recall that the trigonometric ratios for a right angle triangle are defined as,
Apply it, to estimate the value of trigonometric ratios,
The value of cosine function is,
Therefore, the length of adjacent side is
The value of sine function is,
Therefore, the length of opposite side is
Observe that the angle A and B are complementary angles so,
Thus, the triangle so formed is provided below,
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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