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

x = 54.6 m

Explanation:

Comparing two sides of the two triangles in the diagram,

`(/MB/)/(/MP/) = (/MA/)/(/MN/)`

`(X)/(96.6) = (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