The value of  .
 .
Further explanation:
Given:
The given right angle triangle is  .
 .
The length of  is
  is   , the length of
, the length of  is
  is  and
  and  .
 .
Step by step explanation:
Step 1
Now the base of  is
  is  and the hypotenuse is
  and the hypotenuse is  corresponds to angle
  corresponds to angle  .
 .
The value of cosine of angle  can be represented as,
  can be represented as,
 ……(1)
                                                                              ……(1)
Since the values are  .
 .
Now substitute the values  in equation (1).
  in equation (1).

Step 2:
Now find the inverse of the cosine to obtain the value of  as,
  as,
  

Step 3:
Now round the value of  to the nearest whole degree.
  to the nearest whole degree.
    
Therefore, the value of  .
 .
Learn more:
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Learn more about one solution contains 2 parts salt to 8 parts water, and another contains 3 parts salt to 5 parts water. How much of each should be mixed together in order to obtain 280 quarts of a solution that is 3 parts salt to 7 parts water? <u>brainly.com/question/3757441
</u>
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Trigonometry
Keywords: Cosine function, sine function, equation, inverse, angle, round, whole degree, value, trigonometry, right angle triangle, perpendicular, base, hypotenuse