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What is the value of x in this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

x = __°

What is the value of x in this triangle? Enter your answer as a decimal in the box-example-1

2 Answers

3 votes

Answer:

The answer is 33.49.

Explanation:

Verified by correct test results.

User JonghoKim
by
6.3k points
5 votes
For this case we can use the following trigonometric relationship to solve the problem:

sin(x)= (C.O)/(h)
Where,
C.O: opposite leg
h: hypotenuse
Substituting values we have:

sin(x)= (32)/(58)
Clearing x we have:

x = arcsin((32)/(58))
Making the corresponding calculations we have:

x = 33.49
Answer:
The value of x is given by:

x = 33.49
User The Light
by
6.0k points