Concept explainers
To find: the value of x to the nearest integer
Answer to Problem 24CT
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 580,
Now, considering the other right triangle,
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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