To calculate: The sides of the right angled triangle.
Answer to Problem 36E
The triangle along with sides and acute angles is,
Explanation of Solution
Given information:
The right angle triangle with length of its sides and angle
Formula used:
The trigonometric ratios for a right angle triangle are defined as,
Calculation:
Consider the right angle triangle with length of its sides and angle
Observe that the length of adjacent side is
Label the length of hypotenuse of the triangle as x and adjacent side as y .
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,
Divide both sides by
Simplify it with help of calculator,
Therefore, the length of hypotenuse is
The value of sine function is,
Multiply both sides by
Simplify it with help of calculator,
Therefore, the length of opposite side is
Observe that the angle A and C are complementary angles so,
Thus, the triangle so formed is provided below,
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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