Pre-Calculus

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A ladder leans leans against a building that has a wall slanting away from the ladder at an angle of 96 degrees with the ground. If the bottom of the ladder is 23 feet from the base of the wall and it reaches a point 52 feet up the wall, how tall is the ladder to the nearest foot?

Im not great in word problems and answer is 59 ft. I would like to know the steps(work) to gettin these answers
to prepare for my test... thanks in advance

  • Pre-Calculus -

    Use the cosine rule:
    x^2 = 52^2 + 23^2 - 2(52)(23)cos96
    After calculating, you'll get x = 59

  • Pre-Calculus -

    mnk

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