A) Suppose that you need to get a heavy couch into the bed of a pickup truck. Yo

Question

A) Suppose that you need to get a heavy couch into the bed of a pickup truck.You know the bed of the truck is at a height of 1.00 mand you need a ramp that makes an angle of 40?with the ground if you are to be able to push the couch.

Use the sine function to determine how long of a board you need to use to make a ramp that just reaches the 1.00-m high truck bed at a 40? angle to the ground.

B)A support wire is attached to a recently transplanted tree to be sure that it stays vertical. The wire is attached to the tree at a point 1.50

m from the ground, and the wire is 2.00 m long. What is the angle ? between the tree and the support wire?

c) One way of solving systems of linear equations is by adding a multiple of one equation to the other. The multiplier for the first equation is chosen so that one of the two variables will cancel out in the sum. What should you multiply the equation

Explanation / Answer

A)we know that

sin(theta) = (s/h)

or h = (s/sin(theta))

where s = 1.00 m and theta = 40o

B)we know that

cos(theta) = (1.50/2.00)

or theta = cos^-1(1.50/2.00)

C)The equation y = 0 should be multiplied by -1 so that when added to x + y = 40 the variable y will cancel out.

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