Determine the area of the triangle when tana=1 the image is in the picture above

The area will be:

or .

Step-by-step explanation:

Using the definition of tangent, we have:

We know that tan(α) = 1, then we can find AB

u means any unit.

Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:

So, the base of the triangle will be:

The area of a triangle is given by the following equation:

Therefore, the area will be .

I hope it helps you!

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.