Question
5. Write your trigonometric equation cos(angle A) = adjacent/hypotenuse from the previous step, then solve for c, given m∠A= 43° and a=6.9 Show your work and steps.
Answers
GPT 3.5
Given that m∠A = 43° and a = 6.9, we can use the equation cos(angle A) = adjacent/hypotenuse.
Substituting the given values, we have:
cos(43°) = 6.9/c
Now let's solve for c.
Rearranging the equation, we get:
c = 6.9/cos(43°)
Using a calculator, cos(43°) ≈ 0.7314.
c = 6.9/0.7314
c ≈ 9.4364
Therefore, c ≈ 9.4364.
Substituting the given values, we have:
cos(43°) = 6.9/c
Now let's solve for c.
Rearranging the equation, we get:
c = 6.9/cos(43°)
Using a calculator, cos(43°) ≈ 0.7314.
c = 6.9/0.7314
c ≈ 9.4364
Therefore, c ≈ 9.4364.