Question

In right triangle ABC, A=15°, C=37, and angle C is the right angle. Solve the triangle. Round to the nearest tenth, if necessaary.

Answer 1

Answer:

180 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Since angle C is 90 degrees and angle A is 15 degrees Then,

A+B+C=180

15+90+B=180

B=180-90-15

B=75 degrees

Using the sine law,

a/sinA = b/sinB = c/sinC

where a, b, and c are the sides of the triangle,

So,

a/sin15 = 37/sin90

and

b/sin75 = 37/sin90

Simplifying, and solving for a and b, the measure of each side is

a= 9.58 units

b=35.74 units

I hope this helped. I am sorry if you get this wrong.