katherinesmith
  • katherinesmith
solve for angle a, new question, please help!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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katherinesmith
  • katherinesmith
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anonymous
  • anonymous
similar to before: \[a = \tan^-1(4/5) \] a=38.65980825
katherinesmith
  • katherinesmith
i have one more can you help me? @Omistone

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Isaiah.Feynman
  • Isaiah.Feynman
Take the tangent of angle a, its gives us tan a = 4/5. ( Tangent = opposite/ adjacent). So 4/5 = 0.8. To find the angle a we take the inverse tangent of 0.8 which gives us 38.6 degrees
anonymous
  • anonymous
sure
katherinesmith
  • katherinesmith
A ladder is resting against a wall. The ladder and the ground make an angle of 45° and the ladder is 7 ft from the wall. How long is the ladder?
Isaiah.Feynman
  • Isaiah.Feynman
Let the length of the ladder be x, to find x we use the cosine of 45, so its cos 45= 7/x, solving for x in that equation we get x=7/cos 45, x becomes 9.8 feet.
katherinesmith
  • katherinesmith
thank you :)
anonymous
  • anonymous
so here you are given the following values: Angle = 45 degrees adjacent length = 7ft so we use the cosine rule: cos(angle) = adjacent/hypotenuse rearrange to fit our question (we are trying to find the hypotenuse, length of ladder) hypotenuse = adjacent/cos(angle) Length = 7/cos(45) =9.899494937 therefore the ladder is 9.9ft long
anonymous
  • anonymous
Actually, Isaiah.Feynman, 9.8ft is not correct and would result in the deduction of marks on an exam. Correctly rounded, the answer is 9.9ft.
Isaiah.Feynman
  • Isaiah.Feynman
@Omistone I didn't round at all, but thanks for the heads up.

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