The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled pr, is shown: a support structure is shown in which a right triangle pqr is formed with the right angle at q. the length of pq is shown as 14 feet, and the length of qr is shown as 6 feet.. part a: what is the approximate length of rod pr? round your answer to the nearest hundredth. explain how you found your answer, stating the theorem you used. show all your work. part b: the length of rod pr is adjusted to 16 feet. if width pq remains the same, what is the approximate new height qr of the scaffold? round your answer to the nearest hundredth. show all your work. 12 !

a. 15.23

b. 7.75

Step-by-step explanation:

A.

(6)² + (14)² = 232 = (PR)² = 232  PR = √232 = 15.23

B.

(QR)² = 256 - 196 = 60 = QR = √60 = 7.75

a. 15.23

b. 7.75

Step-by-step explanation:

A.

(6)² + (14)² = 232 = (PR)² = 232  PR = √232 = 15.23

B.

(QR)² = 256 - 196 = 60 = QR = √60 = 7.75

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .