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16 March, 07:34

A 30-ft. ladder makes an angle of 60 degrees with the horizontal when it reaches a given spot on a wall. What angle will a 35-ft. ladder make the horizontal if it reaches the sample spot?

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  1. 16 March, 09:36
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    So first you must find the height at which the "spot" is where the ladder touches the wall ...

    sin60=h/30

    h=30sin60

    Now we can find the angle that the 35 ft ladder make when it touches the same spot.

    sinα=h/35 and using h we found earlier ...

    sinα = (30sin60) / 35

    α=arcsin[ (30sin60) / 35]

    α≈47.93 (α≈47º55'42")
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