Question

Please answer this correctly

Answer 1

Answer:

h=1.2 km

Step-by-step explanation:

This is the formula of a Trapezium

A=$\frac{h(a+b)}{2}$

$2.4=\frac{(2.5+1.5)h}{2}\\ 2.4=\frac{4h}{2}\\ 2.4*2=4h\\4.8=4h\\h=1.2$

Answer 2

Answer:

1.2 km

Step-by-step explanation:

The first thing that we should go over is the formula for the area of a trapezoid.

Recall that it is $A= \frac{b_1 +b_2}{2} *h$

From this image, we have the following information

$b_1=2.5\\\\b_2=1.5\\\\A=2.4$

Now, we can plug this information into our formula and then solve for h.

$2.4=\frac{2.5+1.5}{2} *h\\\\2.4=\frac{4}{2} *h\\\\2.4=2h\\\\h=1.2$

Another method that can be employed is to use the pythagorean theorem.

A trapezoid can be be broken into a rectangle and two triangles.

If we look at the difference in the sizes of the bases, the bottom base is 1 km larger. This means that the base of each triangle would be 0.5 km long.

As we have two side lengths of the triangle, we can now use the Pythagorean theorem to find the third side, which is h.

$(1.3)^2=h^2+(0.5)^2\\\\h^2=1.69-0.25\\\\h=\sqrt{1.44} \\\\h=1.2$