SOLUTION: A 26 ft crane is raised vertically through an angle of 42 degrees and is then revolved horizontally through 73 degrees. How far did the tip move in the two movements?

Question 984272: A 26 ft crane is raised vertically through an angle of 42 degrees and is then revolved horizontally through 73 degrees. How far did the tip move in the two movements?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
I take it is the jib of the
crane is moving.
Consider a right angled triangle
The jib is 26ft and using trigonometric
ratios.
Sin = Opposite/Hypotenuse
Sin 42 = Opposite/26 ft
So, opposite = 26 x Sin 42
Opposite (distance moved)
= 17.4ft (1 decimal place)
Now consider another right
angled triangle.
Once again we use:
Sin = Opposite/Hypotenuse
Sin73 = Opposite/26
Opposite (Distance moved)
= 26 x Sin 73
= 24.9 ft
Totalled = 17.4 + 24.9
= 42.3 feet.
Hope this helps:-)
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