Question

What is the value of x? Enter your answer, as a decimal, in the box. m

Answer 1

X / 96.6 =  (80.5 - 35) / 80.5  ( because the small and large triangles are similar,  because of the parallel lines)

x / 96.6 =  45.5 / 80.5

x = 96.6 * 45.5  / 80.5 =  54.6 m (answer)

Answer 2

Answer:

x = 54.6 m

Step-by-step explanation:

Comparing two sides of the two triangles in the diagram,

      $\frac{/MB/}{/MP/} = \frac{/MA/}{/MN/}$

       $\frac{X}{96.6} = \frac{45.5}{80.5}$

cross multiply,

80.5 x = 45.5 × 96.6

80.5 x = 4395.3

divide through by 80.5,

x = 54.6

∴x = 54.6 m