Respuesta :

Answer:

B) 40 feet

Step-by-step explanation:

Essentially, there are two similar right triangles in the given problem.

base_L = Base [larger triangle] = 60 ft

base_S = Base [smaller triangle] = 6 ft

x = leg (larger triangle)

y = leg (smaller triangle) = 4 ft

Using the given proportion to solve for the value of x:

[tex]\frac{x}{base_{_L} } = \frac{y}{base_{_S} }[/tex]

[tex]\frac{x}{60ft} = \frac{4 ft}{6 ft}[/tex]

6x = 240

Divide both sides by 6:

6x/6 = 240/6

x = 40