It seems that the image you uploaded contains a right triangle, with the area provided as 11 square feet (A = 11 ft²), and you're trying to find the value of the height (h).

In a right triangle, the area is given by the formula:

$A = \frac{1}{2} \times \text{base} \times \text{height}$

Since you mentioned both the base and the height are labeled as $h$, the area formula becomes:

$A = \frac{1}{2} \times h \times h = \frac{h^2}{2}$

Now, substituting the given area:

$11 = \frac{h^2}{2}$

To solve for $h$, multiply both sides of the equation by 2:

$22 = h^2$

Now, take the square root of both sides:

$h = \sqrt{22} \approx 4.7$

So, the value of $h$ is approximately 4.7 feet.

Would you like a more detailed breakdown of the steps, or do you have any other questions?

Here are some related questions for you:

1. How can you calculate the perimeter of this right triangle?
2. If the base was 5 ft, how would you find the height using the area?
3. What is the relationship between the legs of a right triangle and its hypotenuse?
4. How do you apply the Pythagorean theorem to solve for missing sides?
5. How can you verify your result using the formula for the area of a triangle?

Tip: In problems like this, make sure to properly label your triangle's sides and angles to avoid confusion!