Question

what is the area of the figure. please help show steps​

Answer 1

Answer: $143.99\ ft^2$

Step-by-step explanation:

We need to find the lenght AC and BC of the triangle by applying these identities:

$cos\alpha=\frac{adjacent}{hypotenuse} \\\\sin\alpha=\frac{opposite}{hypotenuse}$

Then, AC is:

$sin(45\°)=\frac{AC}{24}\\\\AC=24*sin(45\°)\\\\AC=16.97\ ft$

And BC is:

$cos(45\°)=\frac{BC}{24}\\\\BC=24*cos(45\°)\\\\BC=16.97\ ft$

The area will be:

$A=\frac{AC*BC}{2}$

Substituting values, we get:

 $A=\frac{(16.97\ ft)(16.97\ ft)}{2}=143.99\ ft^2$