To calculate: The sides of the right angled triangle.
Answer to Problem 31E
The sides of right angled triangle are
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 opposite side is 16 units.
Label the length of adjacent side of the triangle as x and hypotenuse 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 sine function is,
Multiply both sides by y ,
Multiply both sides by
Simplify it with help of calculator,
Therefore, the length of hypotenuse is
The value of cosine function is,
Multiply both sides by
Simplify it with help of calculator,
Therefore, the length of adjacent side is
Observe that the angle A and C are complementary angles so,
Triangle so formed is provided below,
Hence, the sides of right angled triangle are
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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