Question

I really need help with this!

Answer 1

Since all triangles in these questions are similar, we use that the ratios of corresponding sides are equal

(1)

`(y)/(6)` =
`(9)/(x)` =
`(5)/(4)`

solving
`(9)/(x)` =
`(5)/(4)` ( cross-multiply )

5x = 36 ( divide both sides by 5 )

x =
`(36)/(5)`

solving
`(y)/(6)` =
`(5)/(4)`

4y = 30 ⇒ y =
`(15)/(2)`

(2)

let h be the height of the flagpole, then

`(h)/(5.5)` =
`(50)/(4)`

4h = 275 ⇒ h = 68.75 feet

(3)

`(x)/(6)` =
`(93.5)/(12.75)`

12.75x = 561 ⇒ x = 44 feet