Question

help

Answer 1

help with what?

Answer 2

Look at the picture of a scaffold used to support construction workers. 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 8 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. (5 points)

Part B: The length of rod PR is adjusted to 17 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. (5 points)

Answer 3

@Michele_Laino

Answer 4

@Michele_Laino

Answer 5

the length of PR is given by the theorem of Pitagora:
\[PR = \sqrt {{{14}^2} + {8^2}} = ...?\]

Answer 6

16.12452

Answer 7

correct!
the new height QR, is, applying again the theorem of Pitagora:
\[QR = \sqrt {{{17}^2} - {{14}^2}} = ...?\]

Answer 8

1sec ok

Answer 9

9.64365

Answer 10

coorect! Finally please round off your results as below:
PR=13.1, QR=9.64

Answer 11

oops..QR=9.6

Answer 12

WHat about part B

Answer 13

@Michele_Laino what about part B?

Answer 14

oops.. the right answers are:
\(PR=13.12\) and \(QR=9.64\)