To calculate: The value of length of side x of the right angled triangle.
Answer to Problem 14E
The value of length of side x of the right angled triangle 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 adjacent side is of length x units and opposite side has length 4 units.
Recall that the tangent trigonometric ratio for a right angle triangle is defined as,
The value of trigonometric function
Apply it, to estimate the value of trigonometric ratios,
The value of tangent function is,
Multiply each side by x ,
Multiply each side by
Simplify with help of calculator,
W
Thus, the value of length of side x of the right angled triangle is
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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