Concept explainers
To find: the value of x
Answer to Problem 22CR
The value of x is
Explanation of Solution
Given Information: Two right angled
Formula used:
In a right triangle the sine of the angle is the ratio of the measure of side opposite to the angle to the hypotenuse.
It can be expressed as,
Similarly, the tangent of an angle is the ratio of opposite side to the adjacent side of the triangle expressed as,
Calculation: Consider the triangle given below.
Here, considering the triangle with acute angle 530,
Now, considering the other right triangle,
Referring to the table of trigonometric values in Page 311 in the textbook, the value of z can be obtained as,
Now, substituting the value of z in (1) gives the value of x as,
Again , with the use of the table of trigonometric values in Page 311 in the textbook, the value of x can be obtained as,
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