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igor_vitrenko [27]
2 years ago
5

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?
Mathematics
1 answer:
kenny6666 [7]2 years ago
6 0
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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