Pre-Calculus(Trigonometry)

posted by .

An 8-m boom is used to move a bundle of piping from point A to point B. Determine the exact vertical displacement of the of the boom when the operator moves it form 30 degrees to 60 degrees.

(Just need work checked)
---------------------------------------

I drew two triangles to solve this.

The first triangle:

sin30 = opposite/hypotenuse
x = 8/2
x = 4 <----- First vertical distance


The second triangle

sin60 = opposite/hypotenuse
y = 8 * root3/2
y = 4 root3 <-----second vertical distance

Vertical displacement = y -x
Vertical displacement = 4 root3 - 4 <-----

  • Pre-Calculus(Trigonometry) -

    looks good to me

  • Pre-Calculus(Trigonometry) -

    Thank you

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A wrecking ball (weight 4140 N) is supported by a boom, which may be assumed to be uniform and has a weight of 2550 N. As the drawing shows, a support cable runs from the top of the boom to the tractor. The angle between the support …
  2. Language Arts

    Boom, Boom- the music goes Boom, Boom- Feel the beat from head to toes Boom, Boom- my heart is thumping Boom, Boom- It's quite frightening Boom, Boom- Feel the world's weight on me Boom, Boom- Millions of eyes are staring at me Boom, …
  3. Resolution of vectors

    A 1000kg load is suspended from the end of a horizontal boom. The boom is supported by a cable that makes an angle of 35deg with the boom. a) what is the tension in the cable?
  4. physics

    A weight (with a mass of 71 kg) is suspended from a point near the right-hand end of a uniform boom with a mass of 51 kg . To support the uniform boom a cable runs from this same point to a wall (the left-hand vertical coordinate y=7 …
  5. physics

    A weight (with a mass of 71 kg) is suspended from a point near the right-hand end of a uni- form boom with a mass of 51 kg . To support the uniform boom a cable runs from this same point to a wall Vertical Height (m) is 7 Horizontal …
  6. Physics

    The boom of a crane is 20 m long and is inclined 20ᵒ from the horizontal. A bucket of cement with a mass of 3000 kg is suspended from the upper end of the boom. What is the torque acting on the point where the boom is attached …
  7. physics

    The torques acting on the crane boom can be computed about anaxis passing through the top of the boom. (this is the place wherethe spring scale and mass hanger connect to the boom) apply thesecond condition for equilibrium to the crane …
  8. physics

    A weight (with a mass of 42 kg) is suspended from a point near the right-hand end of a uni- form boom with a mass of 37 kg . To support the uniform boom a cable runs from this same point to a wall (the left-hand vertical coordi- nate …
  9. Pre cal

    1. An airplane flies 200 km on course 110 degrees from point A to point B. At point B the pilot changes course to 37 degrees. The plane then flies 100 km to point C. Find the magnitude of the net displacement from A to C. 2. A plane …
  10. Need help with pre cal hw

    1. A party of hikers walks 8 km from camp on 30 degrees, then turns and walks 6 km on course 160 degrees. Find the magnitude of the net displacement from camp. 2. A ship leaves port A and sails 61.1 km course 131 degrees 50' to point …

More Similar Questions