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)

$\frac{y}{6}$ = $\frac{9}{x}$ = $\frac{5}{4}$

solving $\frac{9}{x}$ = $\frac{5}{4}$ ( cross-multiply )

5x = 36 ( divide both sides by 5 )

x = $\frac{36}{5}$

solving $\frac{y}{6}$ = $\frac{5}{4}$

4y = 30 ⇒ y = $\frac{15}{2}$

(2)

let h be the height of the flagpole, then

$\frac{h}{5.5}$ = $\frac{50}{4}$

4h = 275 ⇒ h = 68.75 feet

(3)

$\frac{x}{6}$ = $\frac{93.5}{12.75}$

12.75x = 561 ⇒ x = 44 feet