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1. What is the value of w? 7 3.5 7(sqrt)of 3 14

1. What is the value of w? 7 3.5 7(sqrt)of 3 14-example-1
User Dhaumann
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1 Answer

6 votes
You can solve this problem by following the proccedure below:

1. You have:

Cos(α)=Adjacent/Hypotenuse

α=30°
Adjacent=7√3
Hypotenuse=w

2. When you substitute this values into Cos(α)=Adjacent/Hypotenuse, you obtain:

Cos(α)=Adjacent/Hypotenuse
Cos(30°)=(7√3)/w

3. When you clear "w", you obtain:

wCos(30°)=7√3
w=(7√3)/Cos(30°)

4. Then, the result is:

w=14

The answer is the last option: 14
User Teeny
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7.4k points