The cross section of a water bin is shaped like a trapezoid. The bases of the trapezoid are 34 feet and 4 feet long. It has an area of 76 square feet. What is the height of the cross section?

Respuesta :

Answer:

The height of the cross section is [tex]4\ ft[/tex]

Step-by-step explanation:

we know that

The area of trapezoid is equal to

[tex]A=\frac{1}{2}(b1+b2)h[/tex]

In this problem we have

[tex]A=76\ ft^{2}[/tex]

[tex]b1=34\ ft[/tex]

[tex]b2=4\ ft[/tex]

substitute and solve for h

[tex]76=\frac{1}{2}(34+4)h[/tex]

[tex]152=(38)h[/tex]

[tex]h=152/38=4\ ft[/tex]