A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the pictu
re. However, since the wires extend out at an angle, they are also imparting force towards the left and right. Therefore, the force on each wire is greater than 15 pounds. Look at the diagram above with the vectors. Use trigonometry to find ||→ux||and ||→vx||.
||→ux||=____ pounds ||→vx||= ___ pounds What is the total force (in pounds) exerted on each wire?
||→u||= ____pounds ||→v||= ____pounds 
||→ux||=____ pounds ||→vx||= ___ pounds What is the total force (in pounds) exerted on each wire?
||→u||= ____pounds ||→v||= ____pounds
1 answer:
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Answer:
3.897
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= <u>(2.598)(3) </u>
2
A = 3.897 rounded