3. Multiple Concept Example 9 provides background pertinent to this problem. The

Question

3. Multiple Concept Example 9 provides background pertinent to this problem. The magnitudes of the four displacement vectors shown in the drawing are A = 17.0 m, B = 11.0 m, C = 12.0 m, and D = 23.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive (counterclockwise) angle from the +x axis.

4. You live in the building on the left in the drawing, and a friend lives in the other building. The two of you are having a discussion about the heights of the buildings, and your friend claims that the height of his building is more than 1.50 times the height of yours. To resolve the issue you climb to the roof of your building and estimate that your line of sight to the top edge of the other building makes an angle of 21

Multiple Concept Example 9 provides background pertinent to this problem. The magnitudes of the four displacement vectors shown in the drawing are A = 17.0 m, B = 11.0 m, C = 12.0 m, and D = 23.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive (counterclockwise) angle from the +x axis.

Explanation / Answer

a) resolve the vector in x and y direction and get the resultant from them. the resultant displacement is 12.04 making -156.24 dgree with x axis.

b) let the distance between the house is d, height of taller house is h2 and for smaller house is h1.

now from the triangle we can get h1=d*sin(52), and h2-h1=d*sin(21)=> h2= d(sin52+sin21). h2/h1= (sin52+sin21)/sin52=1.454. hence h2 is not greater than h1 by 1.5 times. so friend is wrong.

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