Area of triangle- please help :)

Step-by-step explanation:

The area of is comprised of two triangles, so we can find the area of both triangles and add them to get the total area of

Since the sum of the interior angles of a triangle add up to , we have:

.

The Law of Sines is given as:

for any triangle.

Therefore, we have the proportion:

.

Now that we have two sides of a triangle and the angle between them, we can use  to find the area of :

.

Since is a right triangle, we can use basic trig rules for a right triangle to solve for the sides:

,

.

Therefore, the area of is:

.

The area of is then

.

Note that intermediate results were rounded during this calculation. Therefore, there is a small margin of error when rounding to final answer to one decimal place. I recommend plugging in values for yourself using all equations I wrote above, then rounding only your final answer to one decimal place as requested by the problem.

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation: