Answer:
[tex]OP = 8.2[/tex]
Explanation:
Given
See attachment for triangles
Required
Find OP
To solve for OP, we make use of the following equivalent ratios
[tex]NL:LM=QO:OP[/tex]
From the attached triangles
[tex]NL = 47[/tex]
[tex]LM = 35[/tex]
[tex]QO = 11[/tex]
So, we have:
[tex]47 : 35 = 11 : OP[/tex]
Express as fraction
[tex]\frac{47 }{ 35 }= \frac{11 }{ OP}[/tex]
Cross Multiply
[tex]47 * OP = 35 * 11[/tex]
[tex]47 * OP = 385[/tex]
Make OP the subject
[tex]OP = \frac{385}{47}[/tex]
[tex]OP = 8.2[/tex] --- approximated
