Triangle ABC is given where MLA = 33°, a = 15 in, and the height, h, is 9 in. How many distinct triangles can be made with the given measurements? Please help :(

One triangle

Step-by-step explanation:

step 1

Find the measure of side AC

In the right triangle of the left

----> by SOH (opposite side divided by the hypotenuse)

step 2

Find the measure of angle B

Applying the law of sines

substitute the given values

step 3

Find the measure of angle C

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

so

step 4

Find the measure of side AB

Applying the law of sines

substitute the given values

Each measure of the ABC triangle can only have one value, therefore only one triangle can be make with the given measures