In Exercise 23 to 28, use either the sine ratio or the cosine ratio as needed to find the measure of each indicated angle to the nearest degree.
To find:
The measure of each indicated angle of the following triangle,
Consider the following figure,
General formula for cosine ratio and sin ratio is given below,
In a rectangle opposite sides are equal. That is,
The Pythagorean theorem is given below,
Substitute the values of
Hence 10 in. is the length of leg hypotenuse.
From the given figure the value 10 in. is the hypotenuse value since it is opposite to right angle.
Then 6 in. is the length of the leg adjacent to
Therefore,
Using a graphing calculator in degree mode, follow the following key sequence,
So the value of
Therefore,
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