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Figure 4 shows a side view representing a child's art easel. The support bar is located 600 mm from the top of the easel.

- The angle between the support bar and the easel is 30°.
- The distance from the top of the easel to where the support bar connects is 1000 mm.

Calculate the length of the support bar. Show your working.

(Note: All dimensions are in mm, and the figure is not drawn to scale.)

Answer :

Answer:

Step-by-step explanation:

We use the cosine formula:

cos

(

)

=

adjacent

hypotenuse

cos(θ)=

hypotenuse

adjacent

Substitute values:

cos

(

30

°

)

=

1000

support bar length

cos(30°)=

support bar length

1000

0.866

=

1000

0.866=

x

1000

Now solve for

x: =1000

over

0.866

x≈1154.7 mm

Final Answer:

The length of the support bar is approximately 1154.7 mm.

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Rewritten by : Barada